124949392992 has 192 divisors, whose sum is σ = 381296885760. Its totient is φ = 39732498432.

The previous prime is 124949392963. The next prime is 124949392993. The reversal of 124949392992 is 299293949421.

124949392992 is a `hidden beast` number, since 1 + 2 + 494 + 9 + 39 + 29 + 92 = 666.

It is a super-2 number, since 2×124949392992² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124949392993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7602768 + ... + 7619184.

It is an arithmetic number, because the mean of its divisors is an integer number (1985921280).

Almost surely, 2^124949392992 is an apocalyptic number.

124949392992 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 124949392992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190648442880).

124949392992 is an abundant number, since it is smaller than the sum of its proper divisors (256347492768).

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

124949392992 is a wasteful number, since it uses less digits than its factorization.

124949392992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16842 (or 16828 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 63.

The spelling of 124949392992 in words is "one hundred twenty-four billion, nine hundred forty-nine million, three hundred ninety-two thousand, nine hundred ninety-two".