121462560 has 72 divisors (see below), whose sum is σ = 414495900. Its totient is φ = 32389632.

The previous prime is 121462553. The next prime is 121462577. The reversal of 121462560 is 65264121.

It can be written as a sum of positive squares in 2 ways, for example, as 121088016 + 374544 = 11004^2 + 612^2 .

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

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, 40735 + ... + 43614.

Almost surely, 2^121462560 is an apocalyptic number.

121462560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121462560 is an abundant number, since it is smaller than the sum of its proper divisors (293033340).

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

121462560 is a wasteful number, since it uses less digits than its factorization.

121462560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84370 (or 84359 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 121462560 is about 11021.0053987828. The cubic root of 121462560 is about 495.2382079694.

It can be divided in two parts, 12146 and 2560, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 121462560 in words is "one hundred twenty-one million, four hundred sixty-two thousand, five hundred sixty".