121335967632 has 180 divisors, whose sum is σ = 356026327440. Its totient is φ = 35580758400.

The previous prime is 121335967561. The next prime is 121335967679. The reversal of 121335967632 is 236769533121.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5570619 + ... + 5592357.

Almost surely, 2^121335967632 is an apocalyptic number.

121335967632 is a gapful number since it is divisible by the number (12) 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 121335967632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178013163720).

121335967632 is an abundant number, since it is smaller than the sum of its proper divisors (234690359808).

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

121335967632 is a wasteful number, since it uses less digits than its factorization.

121335967632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21834 (or 21786 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 48.

The spelling of 121335967632 in words is "one hundred twenty-one billion, three hundred thirty-five million, nine hundred sixty-seven thousand, six hundred thirty-two".