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121131200000 = 295575707
BaseRepresentation
bin111000011001111111…
…0110110111000000000
3102120122211201112011202
41300303332312320000
53441034041400000
6131351422000332
711515513132406
oct1606376667000
9376584645152
10121131200000
114740a44a458
121b5867160a8
13b565670295
145c11687476
15323e450dd5
hex1c33fb6e00

121131200000 has 120 divisors (see below), whose sum is σ = 302516903304. Its totient is φ = 48451840000.

The previous prime is 121131199841. The next prime is 121131200059. The reversal of 121131200000 is 2131121.

It is a super-2 number, since 2×1211312000002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1562147 + ... + 1637853.

Almost surely, 2121131200000 is an apocalyptic number.

121131200000 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 121131200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151258451652).

121131200000 is an abundant number, since it is smaller than the sum of its proper divisors (181385703304).

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

121131200000 is an frugal number, since it uses more digits than its factorization.

121131200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75750 (or 75714 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 121131200000 its reverse (2131121), we get a palindrome (121133331121).

The spelling of 121131200000 in words is "one hundred twenty-one billion, one hundred thirty-one million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 16000 20000 25000 32000 40000 50000 64000 75707 80000 100000 151414 160000 200000 302828 320000 378535 400000 605656 757070 800000 1211312 1514140 1600000 1892675 2422624 3028280 3785350 4845248 6056560 7570700 9463375 9690496 12113120 15141400 18926750 19380992 24226240 30282800 37853500 38761984 47316875 48452480 60565600 75707000 94633750 96904960 121131200 151414000 189267500 193809920 236584375 242262400 302828000 378535000 473168750 484524800 605656000 757070000 946337500 969049600 1211312000 1514140000 1892675000 2422624000 3028280000 3785350000 4845248000 6056560000 7570700000 12113120000 15141400000 24226240000 30282800000 60565600000 121131200000