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12455554272 = 2537198997113
BaseRepresentation
bin10111001100110100…
…01010110011100000
31012011001022201022220
423212122022303200
5201002110214042
65415541431040
7620442315210
oct134632126340
935131281286
1012455554272
115311921307
1224b740b480
131236657675
14862324240
154cd7598ec
hex2e668ace0

12455554272 has 384 divisors, whose sum is σ = 40540953600. Its totient is φ = 3269984256.

The previous prime is 12455554261. The next prime is 12455554273. The reversal of 12455554272 is 27245555421.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12455554273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110226088 + ... + 110226200.

It is an arithmetic number, because the mean of its divisors is an integer number (105575400).

Almost surely, 212455554272 is an apocalyptic number.

12455554272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12455554272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20270476800).

12455554272 is an abundant number, since it is smaller than the sum of its proper divisors (28085399328).

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

12455554272 is a wasteful number, since it uses less digits than its factorization.

12455554272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its digits is 560000, while the sum is 42.

The spelling of 12455554272 in words is "twelve billion, four hundred fifty-five million, five hundred fifty-four thousand, two hundred seventy-two".