121437811440 has 960 divisors, whose sum is σ = 498193113600. Its totient is φ = 27209779200.

The previous prime is 121437811367. The next prime is 121437811477. The reversal of 121437811440 is 44118734121.

121437811440 is a `hidden beast` number, since 1 + 2 + 1 + 437 + 81 + 144 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121437811395 and 121437811404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2961897820 + ... + 2961897860.

It is an arithmetic number, because the mean of its divisors is an integer number (518951160).

Almost surely, 2^121437811440 is an apocalyptic number.

121437811440 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 121437811440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249096556800).

121437811440 is an abundant number, since it is smaller than the sum of its proper divisors (376755302160).

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

121437811440 is an equidigital number, since it uses as much as digits as its factorization.

121437811440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 121437811440 in words is "one hundred twenty-one billion, four hundred thirty-seven million, eight hundred eleven thousand, four hundred forty".