125412217152 has 224 divisors, whose sum is σ = 362240901120. Its totient is φ = 38146775040.

The previous prime is 125412217129. The next prime is 125412217157. The reversal of 125412217152 is 251712214521.

It is a super-2 number, since 2×125412217152² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125412217157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25216138 + ... + 25221110.

It is an arithmetic number, because the mean of its divisors is an integer number (1617146880).

Almost surely, 2^125412217152 is an apocalyptic number.

125412217152 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 125412217152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181120450560).

125412217152 is an abundant number, since it is smaller than the sum of its proper divisors (236828683968).

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

125412217152 is a wasteful number, since it uses less digits than its factorization.

125412217152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5261 (or 5251 counting only the distinct ones).

The product of its digits is 11200, while the sum is 33.

The spelling of 125412217152 in words is "one hundred twenty-five billion, four hundred twelve million, two hundred seventeen thousand, one hundred fifty-two".