125121360 has 320 divisors, whose sum is σ = 506967552. Its totient is φ = 24772608.

The previous prime is 125121349. The next prime is 125121391. The reversal of 125121360 is 63121521.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371112 + ... + 371448.

Almost surely, 2^125121360 is an apocalyptic number.

125121360 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 125121360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253483776).

125121360 is an abundant number, since it is smaller than the sum of its proper divisors (381846192).

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

125121360 is a wasteful number, since it uses less digits than its factorization.

125121360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 125121360 is about 11185.7659549983. The cubic root of 125121360 is about 500.1617609945.

Adding to 125121360 its reverse (63121521), we get a palindrome (188242881).

The spelling of 125121360 in words is "one hundred twenty-five million, one hundred twenty-one thousand, three hundred sixty".