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12212140104432 = 2432574114772083
BaseRepresentation
bin1011000110110101110001…
…0001011101101011110000
31121020110200001002222210100
42301231130101131223300
53100040430331320212
641550102452432400
72400204134110002
oct261553421355360
947213601088710
1012212140104432
1139891597a0164
121452965018700
136a77a4bb92b8
143030dc14c372
151629ec08cbdc
hexb1b5c45daf0

12212140104432 has 60 divisors (see below), whose sum is σ = 34182986450184. Its totient is φ = 4070004032640.

The previous prime is 12212140104337. The next prime is 12212140104433. The reversal of 12212140104432 is 23440104121221.

12212140104432 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 214 + 0 + 1 + 0 + 443 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12212140104396 and 12212140104405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212140104433) 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 11 ways as a sum of consecutive naturals, for example, 6559338 + ... + 8212745.

Almost surely, 212212140104432 is an apocalyptic number.

12212140104432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12212140104432 is an abundant number, since it is smaller than the sum of its proper divisors (21970846345752).

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

12212140104432 is a wasteful number, since it uses less digits than its factorization.

12212140104432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14777838 (or 14777829 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12212140104432 its reverse (23440104121221), we get a palindrome (35652244225653).

The spelling of 12212140104432 in words is "twelve trillion, two hundred twelve billion, one hundred forty million, one hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 5741 11482 17223 22964 34446 45928 51669 68892 91856 103338 137784 206676 275568 413352 826704 14772083 29544166 44316249 59088332 88632498 118176664 132948747 177264996 236353328 265897494 354529992 531794988 709059984 1063589976 2127179952 84806528503 169613057006 254419585509 339226114012 508839171018 678452228024 763258756527 1017678342036 1356904456048 1526517513054 2035356684072 3053035026108 4070713368144 6106070052216 12212140104432