121914072 has 288 divisors, whose sum is σ = 429112320. Its totient is φ = 31726080.

The previous prime is 121914061. The next prime is 121914101. The reversal of 121914072 is 270419121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3932697 + ... + 3932727.

Almost surely, 2^121914072 is an apocalyptic number.

121914072 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 121914072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214556160).

121914072 is an abundant number, since it is smaller than the sum of its proper divisors (307198248).

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

121914072 is a wasteful number, since it uses less digits than its factorization.

121914072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 121914072 is about 11041.4705542333. The cubic root of 121914072 is about 495.8510977762.

The spelling of 121914072 in words is "one hundred twenty-one million, nine hundred fourteen thousand, seventy-two".