122961032964 has 675 divisors, whose sum is σ = 429975912135. Its totient is φ = 30549324960.

The previous prime is 122961032959. The next prime is 122961032993. The reversal of 122961032964 is 469230169221.

The square root of 122961032964 is 350658.

It is a perfect power (a square), and thus also a powerful number.

122961032964 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 610 + 3 + 29 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 5346131857 + ... + 5346131879.

Almost surely, 2^122961032964 is an apocalyptic number.

122961032964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

122961032964 is the 350658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122961032964

122961032964 is an abundant number, since it is smaller than the sum of its proper divisors (307014879171).

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

122961032964 is an equidigital number, since it uses as much as digits as its factorization.

122961032964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 122961032964 in words is "one hundred twenty-two billion, nine hundred sixty-one million, thirty-two thousand, nine hundred sixty-four".