Search a number
-
+
12312021211320 = 2335184753555337
BaseRepresentation
bin1011001100101001110110…
…1001101001100010111000
31121121000110221000221100110
42303022131221221202320
53103210004412230240
642104021531304320
72410341235364235
oct263123551514270
947530427027313
1012312021211320
113a17554000096
12146a19abab0a0
136b4031b9b88c
14307c954a078c
151653e5b3ec80
hexb329da698b8

12312021211320 has 64 divisors (see below), whose sum is σ = 36936330066720. Its totient is φ = 3283181973504.

The previous prime is 12312021211181. The next prime is 12312021211337. The reversal of 12312021211320 is 2311212021321.

12312021211320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123120212113202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21892692 + ... + 22448028.

Almost surely, 212312021211320 is an apocalyptic number.

12312021211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12312021211320 is an abundant number, since it is smaller than the sum of its proper divisors (24624308855400).

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

12312021211320 is a wasteful number, since it uses less digits than its factorization.

12312021211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740104 (or 740100 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12312021211320 its reverse (2311212021321), we get a palindrome (14623233232641).

The spelling of 12312021211320 in words is "twelve trillion, three hundred twelve billion, twenty-one million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 184753 369506 554259 555337 739012 923765 1108518 1110674 1478024 1666011 1847530 2217036 2221348 2771295 2776685 3332022 3695060 4434072 4442696 5542590 5553370 6664044 7390120 8330055 11085180 11106740 13328088 16660110 22170360 22213480 33320220 66640440 102600176761 205200353522 307800530283 410400707044 513000883805 615601060566 820801414088 1026001767610 1231202121132 1539002651415 2052003535220 2462404242264 3078005302830 4104007070440 6156010605660 12312021211320