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12123636444 = 223523542299
BaseRepresentation
bin10110100101010000…
…00000001011011100
31011021220202112200000
423102220000023130
5144312122331234
65323003334300
7606302131563
oct132250001334
934256675600
1012123636444
115161527557
122424221390
1311b296299a
14830202bda
154ae543899
hex2d2a002dc

12123636444 has 72 divisors (see below), whose sum is σ = 33162729600. Its totient is φ = 3865500144.

The previous prime is 12123636443. The next prime is 12123636449. The reversal of 12123636444 is 44463632121.

12123636444 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 3 + 6 + 3 + 644 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12123636399 and 12123636408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123636443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248794 + ... + 293505.

Almost surely, 212123636444 is an apocalyptic number.

It is an amenable number.

12123636444 is an abundant number, since it is smaller than the sum of its proper divisors (21039093156).

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

12123636444 is a wasteful number, since it uses less digits than its factorization.

12123636444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542341 (or 542327 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 12123636444 in words is "twelve billion, one hundred twenty-three million, six hundred thirty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 828 972 1242 1863 2484 3726 5589 7452 11178 22356 542299 1084598 1626897 2169196 3253794 4880691 6507588 9761382 12472877 14642073 19522764 24945754 29284146 37418631 43926219 49891508 58568292 74837262 87852438 112255893 131778657 149674524 175704876 224511786 263557314 336767679 449023572 527114628 673535358 1010303037 1347070716 2020606074 3030909111 4041212148 6061818222 12123636444