121599072 has 72 divisors (see below), whose sum is σ = 395203536. Its totient is φ = 34742016.

The previous prime is 121599043. The next prime is 121599083. The reversal of 121599072 is 270995121.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×121599072² = 29572668622522368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28143 + ... + 32174.

It is an arithmetic number, because the mean of its divisors is an integer number (5488938).

Almost surely, 2^121599072 is an apocalyptic number.

121599072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121599072 is an abundant number, since it is smaller than the sum of its proper divisors (273604464).

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

121599072 is a wasteful number, since it uses less digits than its factorization.

121599072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60340 (or 60329 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 121599072 is about 11027.1969239694. The cubic root of 121599072 is about 495.4236715574.

The spelling of 121599072 in words is "one hundred twenty-one million, five hundred ninety-nine thousand, seventy-two".