121022053440 has 448 divisors, whose sum is σ = 430111814400. Its totient is φ = 28651290624.

The previous prime is 121022053387. The next prime is 121022053447. The reversal of 121022053440 is 44350220121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 121022053440.

It is not an unprimeable number, because it can be changed into a prime (121022053447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85891456 + ... + 85892864.

Almost surely, 2^121022053440 is an apocalyptic number.

121022053440 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 121022053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215055907200).

121022053440 is an abundant number, since it is smaller than the sum of its proper divisors (309089760960).

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

121022053440 is a wasteful number, since it uses less digits than its factorization.

121022053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 121022053440 its reverse (44350220121), we get a palindrome (165372273561).

The spelling of 121022053440 in words is "one hundred twenty-one billion, twenty-two million, fifty-three thousand, four hundred forty".