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12212414434240 = 26599738278631
BaseRepresentation
bin1011000110110110110010…
…0111111100101111000000
31121020111101011022101112121
42301231230213330233000
53100042011043343430
641550150012334024
72400214004633236
oct261555447745700
947214334271477
1012212414434240
11398928a631209
121452a20a74314
136a7819999b27
1430312675c956
15162a161caa7a
hexb1b6c9fcbc0

12212414434240 has 56 divisors (see below), whose sum is σ = 29109980948832. Its totient is φ = 4880065981440.

The previous prime is 12212414434133. The next prime is 12212414434261. The reversal of 12212414434240 is 4243441421221.

It is a junction number, because it is equal to n+sod(n) for n = 12212414434196 and 12212414434205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18820276 + ... + 19458355.

It is an arithmetic number, because the mean of its divisors is an integer number (519821088372).

Almost surely, 212212414434240 is an apocalyptic number.

12212414434240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212414434240 is an abundant number, since it is smaller than the sum of its proper divisors (16897566514592).

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

12212414434240 is an equidigital number, since it uses as much as digits as its factorization.

12212414434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38279645 (or 38279635 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 12212414434240 its reverse (4243441421221), we get a palindrome (16455855855461).

The spelling of 12212414434240 in words is "twelve trillion, two hundred twelve billion, four hundred fourteen million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 997 1994 3988 4985 7976 9970 15952 19940 31904 39880 63808 79760 159520 319040 38278631 76557262 153114524 191393155 306229048 382786310 612458096 765572620 1224916192 1531145240 2449832384 3062290480 6124580960 12249161920 38163795107 76327590214 152655180428 190818975535 305310360856 381637951070 610620721712 763275902140 1221241443424 1526551804280 2442482886848 3053103608560 6106207217120 12212414434240