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120212011120000 = 27542296561791
BaseRepresentation
bin11011010101010100001010…
…001110000111010110000000
3120202122011012202002211120011
4123111110022032013112000
5111224023144321320000
61103400345134554304
734215013462030552
oct3325241216072600
9522564182084504
10120212011120000
113533769a3a1668
1211595a87368994
13520cc36ca4c37
1421984144254d2
15dd6ecc2e52ba
hex6d550a387580

120212011120000 has 160 divisors (see below), whose sum is σ = 300567147724800. Its totient is φ = 47874819840000.

The previous prime is 120212011119997. The next prime is 120212011120027. The reversal of 120212011120000 is 21110212021.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15039105 + ... + 21600895.

It is an arithmetic number, because the mean of its divisors is an integer number (1878544673280).

Almost surely, 2120212011120000 is an apocalyptic number.

120212011120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120212011120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150283573862400).

120212011120000 is an abundant number, since it is smaller than the sum of its proper divisors (180355136604800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120212011120000 is an frugal number, since it uses more digits than its factorization.

120212011120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6562054 (or 6562027 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 120212011120000 its reverse (21110212021), we get a palindrome (120233121332021).

The spelling of 120212011120000 in words is "one hundred twenty trillion, two hundred twelve billion, eleven million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 229 250 320 400 458 500 625 640 800 916 1000 1145 1250 1600 1832 2000 2290 2500 3200 3664 4000 4580 5000 5725 7328 8000 9160 10000 11450 14656 16000 18320 20000 22900 28625 29312 36640 40000 45800 57250 73280 80000 91600 114500 143125 146560 183200 229000 286250 366400 458000 572500 732800 916000 1145000 1832000 2290000 3664000 4580000 6561791 9160000 13123582 18320000 26247164 32808955 52494328 65617910 104988656 131235820 164044775 209977312 262471640 328089550 419954624 524943280 656179100 820223875 839909248 1049886560 1312358200 1502650139 1640447750 2099773120 2624716400 3005300278 3280895500 4101119375 4199546240 5249432800 6010600556 6561791000 7513250695 8202238750 10498865600 12021201112 13123582000 15026501390 16404477500 20997731200 24042402224 26247164000 30053002780 32808955000 37566253475 48084804448 52494328000 60106005560 65617910000 75132506950 96169608896 104988656000 120212011120 131235820000 150265013900 187831267375 192339217792 240424022240 262471640000 300530027800 375662534750 480848044480 524943280000 601060055600 751325069500 939156336875 961696088960 1202120111200 1502650139000 1878312673750 2404240222400 3005300278000 3756625347500 4808480444800 6010600556000 7513250695000 12021201112000 15026501390000 24042402224000 30053002780000 60106005560000 120212011120000