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13231212321120 = 253583332108743
BaseRepresentation
bin1100000010001010000110…
…1101011101100101100000
31201211220001221021102002020
43000202201231131211200
53213240010323233440
644050200211021440
72533631530040223
oct300424155354540
951756057242066
1013231212321120
114241364466802
12159836a29a880
1374c90c589051
1433a57356b5ba
1517e292da63d0
hexc08a1b5d960

13231212321120 has 96 divisors (see below), whose sum is σ = 42180467357952. Its totient is φ = 3485813356032.

The previous prime is 13231212321077. The next prime is 13231212321127. The reversal of 13231212321120 is 2112321213231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13231212321127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166014532 + ... + 166094211.

It is an arithmetic number, because the mean of its divisors is an integer number (439379868312).

Almost surely, 213231212321120 is an apocalyptic number.

13231212321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13231212321120 is an abundant number, since it is smaller than the sum of its proper divisors (28949255036832).

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

13231212321120 is a wasteful number, since it uses less digits than its factorization.

13231212321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332108844 (or 332108836 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13231212321120 its reverse (2112321213231), we get a palindrome (15343533534351).

The spelling of 13231212321120 in words is "thirteen trillion, two hundred thirty-one billion, two hundred twelve million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 83 96 120 160 166 240 249 332 415 480 498 664 830 996 1245 1328 1660 1992 2490 2656 3320 3984 4980 6640 7968 9960 13280 19920 39840 332108743 664217486 996326229 1328434972 1660543715 1992652458 2656869944 3321087430 3985304916 4981631145 5313739888 6642174860 7970609832 9963262290 10627479776 13284349720 15941219664 19926524580 26568699440 27565025669 31882439328 39853049160 53137398880 55130051338 79706098320 82695077007 110260102676 137825128345 159412196640 165390154014 220520205352 275650256690 330780308028 413475385035 441040410704 551300513380 661560616056 826950770070 882080821408 1102601026760 1323121232112 1653901540140 2205202053520 2646242464224 3307803080280 4410404107040 6615606160560 13231212321120