121964640 has 96 divisors (see below), whose sum is σ = 439084800. Its totient is φ = 27876864.

The previous prime is 121964639. The next prime is 121964651. The reversal of 121964640 is 46469121.

121964640 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14790 + ... + 21509.

It is an arithmetic number, because the mean of its divisors is an integer number (4573800).

Almost surely, 2^121964640 is an apocalyptic number.

121964640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121964640 is an abundant number, since it is smaller than the sum of its proper divisors (317120160).

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

121964640 is a wasteful number, since it uses less digits than its factorization.

121964640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36324 (or 36316 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 121964640 is about 11043.7602291973. The cubic root of 121964640 is about 495.9196453248.

It can be divided in two parts, 12196 and 4640, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 121964640 in words is "one hundred twenty-one million, nine hundred sixty-four thousand, six hundred forty".