121021956000 has 288 divisors, whose sum is σ = 468554538816. Its totient is φ = 29338560000.

The previous prime is 121021955983. The next prime is 121021956019. The reversal of 121021956000 is 659120121.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243195 + ... + 548805.

It is an arithmetic number, because the mean of its divisors is an integer number (1626925482).

Almost surely, 2^121021956000 is an apocalyptic number.

121021956000 is a gapful number since it is divisible by the number (10) 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 121021956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234277269408).

121021956000 is an abundant number, since it is smaller than the sum of its proper divisors (347532582816).

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

121021956000 is a wasteful number, since it uses less digits than its factorization.

121021956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305653 (or 305632 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 121021956000 in words is "one hundred twenty-one billion, twenty-one million, nine hundred fifty-six thousand".