112124014879800 has 768 divisors, whose sum is σ = 454008107335680. Its totient is φ = 22210391808000.

The previous prime is 112124014879759. The next prime is 112124014879837. The reversal of 112124014879800 is 8978410421211.

It is a happy number.

112124014879800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112124014879800² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112124014879800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95373162 + ... + 96541638.

It is an arithmetic number, because the mean of its divisors is an integer number (591156389760).

Almost surely, 2^{112124014879800} is an apocalyptic number.

112124014879800 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 112124014879800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227004053667840).

112124014879800 is an abundant number, since it is smaller than the sum of its proper divisors (341884092455880).

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

112124014879800 is a wasteful number, since it uses less digits than its factorization.

112124014879800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168612 (or 1168603 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The spelling of 112124014879800 in words is "one hundred twelve trillion, one hundred twenty-four billion, fourteen million, eight hundred seventy-nine thousand, eight hundred".