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121120211020000 = 255413734410787
BaseRepresentation
bin11011100010100001111111…
…001001110010100011100000
3120212211222102202102222221111
4123202201333021302203200
5111333413143010120000
61105333505022433104
734340434511561233
oct3342417711624340
9525758382388844
10121120211020000
113565787a583715
1211701aa9732794
135277782524a7a
1421ca36c86d41a
15e00934656cba
hex6e287f2728e0

121120211020000 has 120 divisors (see below), whose sum is σ = 298190978698536. Its totient is φ = 48412787136000.

The previous prime is 121120211019971. The next prime is 121120211020007. The reversal of 121120211020000 is 20112021121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121120211020007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25254607 + ... + 29665393.

Almost surely, 2121120211020000 is an apocalyptic number.

121120211020000 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 121120211020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149095489349268).

121120211020000 is an abundant number, since it is smaller than the sum of its proper divisors (177070767678536).

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

121120211020000 is an equidigital number, since it uses as much as digits as its factorization.

121120211020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412190 (or 4412167 counting only the distinct ones).

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

Adding to 121120211020000 its reverse (20112021121), we get a palindrome (121140323041121).

The spelling of 121120211020000 in words is "one hundred twenty-one trillion, one hundred twenty billion, two hundred eleven million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1373 2000 2500 2746 4000 5000 5492 6865 10000 10984 13730 20000 21968 27460 34325 43936 54920 68650 109840 137300 171625 219680 274600 343250 549200 686500 858125 1098400 1373000 1716250 2746000 3432500 4410787 5492000 6865000 8821574 13730000 17643148 22053935 27460000 35286296 44107870 70572592 88215740 110269675 141145184 176431480 220539350 352862960 441078700 551348375 705725920 882157400 1102696750 1764314800 2205393500 2756741875 3528629600 4410787000 5513483750 6056010551 8821574000 11026967500 12112021102 17643148000 22053935000 24224042204 30280052755 44107870000 48448084408 60560105510 88215740000 96896168816 121120211020 151400263775 193792337632 242240422040 302800527550 484480844080 605601055100 757001318875 968961688160 1211202110200 1514002637750 2422404220400 3028005275500 3785006594375 4844808440800 6056010551000 7570013188750 12112021102000 15140026377500 24224042204000 30280052755000 60560105510000 121120211020000