121357152 has 144 divisors (see below), whose sum is σ = 417729312. Its totient is φ = 32624640.

The previous prime is 121357139. The next prime is 121357183. The reversal of 121357152 is 251753121.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×121357152² = 29455116683102208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32502 + ... + 36042.

It is an arithmetic number, because the mean of its divisors is an integer number (2900898).

Almost surely, 2^121357152 is an apocalyptic number.

121357152 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 121357152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208864656).

121357152 is an abundant number, since it is smaller than the sum of its proper divisors (296372160).

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

121357152 is a wasteful number, since it uses less digits than its factorization.

121357152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581 (or 3570 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 121357152 is about 11016.2222199809. Note that the first 4 decimals coincide. The cubic root of 121357152 is about 495.0949068099.

The spelling of 121357152 in words is "one hundred twenty-one million, three hundred fifty-seven thousand, one hundred fifty-two".