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12001312024400 = 245230003280061
BaseRepresentation
bin1010111010100100010111…
…1100001010011101010000
31120111022111001212211220202
42232221011330022131100
53033112141334240100
641305154315154332
72346031462023356
oct256510574123520
946438431784822
1012001312024400
113907800845196
121419b271459a8
1369094647799a
142d6c1bd4d7d6
1515c2ad1d87d5
hexaea45f0a750

12001312024400 has 30 divisors (see below), whose sum is σ = 28833152139582. Its totient is φ = 4800524809600.

The previous prime is 12001312024397. The next prime is 12001312024411. The reversal of 12001312024400 is 442021310021.

It can be written as a sum of positive squares in 3 ways, for example, as 823309428496 + 11178002595904 = 907364^2 + 3343352^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15001639631 + ... + 15001640430.

Almost surely, 212001312024400 is an apocalyptic number.

12001312024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001312024400 is an abundant number, since it is smaller than the sum of its proper divisors (16831840115182).

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

12001312024400 is a wasteful number, since it uses less digits than its factorization.

12001312024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30003280079 (or 30003280068 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12001312024400 its reverse (442021310021), we get a palindrome (12443333334421).

The spelling of 12001312024400 in words is "twelve trillion, one billion, three hundred twelve million, twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30003280061 60006560122 120013120244 150016400305 240026240488 300032800610 480052480976 600065601220 750082001525 1200131202440 1500164003050 2400262404880 3000328006100 6000656012200 12001312024400