121950560256 has 896 divisors, whose sum is σ = 430309324800. Its totient is φ = 30519853056.

The previous prime is 121950560227. The next prime is 121950560267. The reversal of 121950560256 is 652065059121.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3295961070 + ... + 3295961106.

Almost surely, 2^121950560256 is an apocalyptic number.

121950560256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121950560256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215154662400).

121950560256 is an abundant number, since it is smaller than the sum of its proper divisors (308358764544).

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

121950560256 is an equidigital number, since it uses as much as digits as its factorization.

121950560256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 121950560256 in words is "one hundred twenty-one billion, nine hundred fifty million, five hundred sixty thousand, two hundred fifty-six".