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12121232212032 = 263109579187319
BaseRepresentation
bin1011000001100011000110…
…1111011000000001000000
31120220210000111212120102120
42300120301233120001000
53042043240421241112
641440230041044240
72360505301553556
oct260306157300100
946823014776376
1012121232212032
113953649647079
121439214186680
1369c047c691a8
142dc95683bbd6
1516047b175e8c
hexb0631bd8040

12121232212032 has 56 divisors (see below), whose sum is σ = 32364987441600. Its totient is φ = 4003342742016.

The previous prime is 12121232212003. The next prime is 12121232212039. The reversal of 12121232212032 is 23021223212121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12121232211993 and 12121232212011.

It is not an unprimeable number, because it can be changed into a prime (12121232212039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289572732 + ... + 289614587.

Almost surely, 212121232212032 is an apocalyptic number.

12121232212032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12121232212032 is an abundant number, since it is smaller than the sum of its proper divisors (20243755229568).

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

12121232212032 is a wasteful number, since it uses less digits than its factorization.

12121232212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579187443 (or 579187433 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12121232212032 its reverse (23021223212121), we get a palindrome (35142455424153).

The spelling of 12121232212032 in words is "twelve trillion, one hundred twenty-one billion, two hundred thirty-two million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 192 218 327 436 654 872 1308 1744 2616 3488 5232 6976 10464 20928 579187319 1158374638 1737561957 2316749276 3475123914 4633498552 6950247828 9266997104 13900495656 18533994208 27800991312 37067988416 55601982624 63131417771 111203965248 126262835542 189394253313 252525671084 378788506626 505051342168 757577013252 1010102684336 1515154026504 2020205368672 3030308053008 4040410737344 6060616106016 12121232212032