125219633280 has 384 divisors, whose sum is σ = 466329312000. Its totient is φ = 28496756736.

The previous prime is 125219633197. The next prime is 125219633303. The reversal of 125219633280 is 82336912521.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22482336 + ... + 22487904.

It is an arithmetic number, because the mean of its divisors is an integer number (1214399250).

Almost surely, 2^125219633280 is an apocalyptic number.

125219633280 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 125219633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233164656000).

125219633280 is an abundant number, since it is smaller than the sum of its proper divisors (341109678720).

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

125219633280 is a wasteful number, since it uses less digits than its factorization.

125219633280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5825 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 125219633280 in words is "one hundred twenty-five billion, two hundred nineteen million, six hundred thirty-three thousand, two hundred eighty".