121149733440 has 448 divisors, whose sum is σ = 420719097600. Its totient is φ = 29429858304.

The previous prime is 121149733429. The next prime is 121149733451. The reversal of 121149733440 is 44337941121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121149733429) and next prime (121149733451).

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, 60063312 + ... + 60065328.

Almost surely, 2^121149733440 is an apocalyptic number.

121149733440 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 121149733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210359548800).

121149733440 is an abundant number, since it is smaller than the sum of its proper divisors (299569364160).

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

121149733440 is a wasteful number, since it uses less digits than its factorization.

121149733440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 121149733440 in words is "one hundred twenty-one billion, one hundred forty-nine million, seven hundred thirty-three thousand, four hundred forty".