121293504 has 112 divisors (see below), whose sum is σ = 377647200. Its totient is φ = 38043648.

The previous prime is 121293493. The next prime is 121293527. The reversal of 121293504 is 405392121.

It is a super-2 number, since 2×121293504² = 29424228225196032, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27312 + ... + 31440.

It is an arithmetic number, because the mean of its divisors is an integer number (3371850).

Almost surely, 2^121293504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121293504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188823600).

121293504 is an abundant number, since it is smaller than the sum of its proper divisors (256353696).

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

121293504 is a wasteful number, since it uses less digits than its factorization.

121293504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4167 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 121293504 is about 11013.3330104923. Note that the first 3 decimals coincide. The cubic root of 121293504 is about 495.0083377843.

The spelling of 121293504 in words is "one hundred twenty-one million, two hundred ninety-three thousand, five hundred four".