121276064 has 48 divisors (see below), whose sum is σ = 293868288. Its totient is φ = 47976192.

The previous prime is 121276037. The next prime is 121276081. The reversal of 121276064 is 460672121.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17912 + ... + 23735.

It is an arithmetic number, because the mean of its divisors is an integer number (6122256).

Almost surely, 2^121276064 is an apocalyptic number.

121276064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

121276064 is an abundant number, since it is smaller than the sum of its proper divisors (172592224).

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

121276064 is a wasteful number, since it uses less digits than its factorization.

121276064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41677 (or 41669 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 121276064 is about 11012.5412144518. The cubic root of 121276064 is about 494.9846119762.

It can be divided in two parts, 12127 and 6064, that multiplied together give a triangular number (73538128 = T₁₂₁₂₇).

The spelling of 121276064 in words is "one hundred twenty-one million, two hundred seventy-six thousand, sixty-four".