124954318272 has 224 divisors, whose sum is σ = 408232051200. Its totient is φ = 33600860160.

The previous prime is 124954318271. The next prime is 124954318319. The reversal of 124954318272 is 272813459421.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×124954318272² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124954318271) 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, 1063747 + ... + 1175357.

Almost surely, 2^124954318272 is an apocalyptic number.

124954318272 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 124954318272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204116025600).

124954318272 is an abundant number, since it is smaller than the sum of its proper divisors (283277732928).

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

124954318272 is a wasteful number, since it uses less digits than its factorization.

124954318272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111664 (or 111640 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The spelling of 124954318272 in words is "one hundred twenty-four billion, nine hundred fifty-four million, three hundred eighteen thousand, two hundred seventy-two".