125485269120 has 512 divisors, whose sum is σ = 467668857600. Its totient is φ = 31757598720.

The previous prime is 125485269101. The next prime is 125485269127. The reversal of 125485269120 is 21962584521.

125485269120 is a `hidden beast` number, since 1 + 25 + 485 + 26 + 9 + 120 = 666.

It is a Cunningham number, because it is equal to 354239²-1.

It is a super-2 number, since 2×125485269120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (125485269127) 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 63 ways as a sum of consecutive naturals, for example, 26211367 + ... + 26216153.

Almost surely, 2^125485269120 is an apocalyptic number.

125485269120 is a gapful number since it is divisible by the number (10) 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 125485269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233834428800).

125485269120 is an abundant number, since it is smaller than the sum of its proper divisors (342183588480).

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

125485269120 is a wasteful number, since it uses less digits than its factorization.

125485269120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4893 (or 4875 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 125485269120 in words is "one hundred twenty-five billion, four hundred eighty-five million, two hundred sixty-nine thousand, one hundred twenty".