Search a number
-
+
12220010022096 = 2432531601154353
BaseRepresentation
bin1011000111010011000101…
…0110110100010011010000
31121021012222111202020021100
42301310301112310103100
53100203040031201341
641553443424224400
72400603145234242
oct261646126642320
947235874666240
1012220010022096
11399152809a848
1214543a076b100
136a845a4b5306
14303647434092
15162d0ce403b6
hexb1d315b44d0

12220010022096 has 60 divisors (see below), whose sum is σ = 34844321051748. Its totient is φ = 3996481262592.

The previous prime is 12220010022083. The next prime is 12220010022119. The reversal of 12220010022096 is 69022001002221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10963144812096 + 1256865210000 = 3311064^2 + 1121100^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 800569545 + ... + 800584808.

Almost surely, 212220010022096 is an apocalyptic number.

12220010022096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12220010022096 is an abundant number, since it is smaller than the sum of its proper divisors (22624311029652).

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

12220010022096 is a wasteful number, since it uses less digits than its factorization.

12220010022096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601154420 (or 1601154411 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12220010022096 in words is "twelve trillion, two hundred twenty billion, ten million, twenty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 1601154353 3202308706 4803463059 6404617412 9606926118 12809234824 14410389177 19213852236 25618469648 28820778354 38427704472 57641556708 76855408944 84861180709 115283113416 169722361418 230566226832 254583542127 339444722836 509167084254 678889445672 763750626381 1018334168508 1357778891344 1527501252762 2036668337016 3055002505524 4073336674032 6110005011048 12220010022096