121942632000 has 448 divisors, whose sum is σ = 487257278976. Its totient is φ = 26232422400.

The previous prime is 121942631963. The next prime is 121942632029. The reversal of 121942632000 is 236249121.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2834652 + ... + 2877348.

Almost surely, 2^121942632000 is an apocalyptic number.

121942632000 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 121942632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243628639488).

121942632000 is an abundant number, since it is smaller than the sum of its proper divisors (365314646976).

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

121942632000 is a wasteful number, since it uses less digits than its factorization.

121942632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42751 (or 42731 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 121942632000 in words is "one hundred twenty-one billion, nine hundred forty-two million, six hundred thirty-two thousand".