122053616640 has 704 divisors, whose sum is σ = 471628800000. Its totient is φ = 29820026880.

The previous prime is 122053616627. The next prime is 122053616669. The reversal of 122053616640 is 46616350221.

122053616640 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 5 + 3 + 6 + 1 + 6 + 640 = 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 = 122053616595 and 122053616604.

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, 81422611 + ... + 81424109.

Almost surely, 2^122053616640 is an apocalyptic number.

122053616640 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 122053616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235814400000).

122053616640 is an abundant number, since it is smaller than the sum of its proper divisors (349575183360).

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

122053616640 is a wasteful number, since it uses less digits than its factorization.

122053616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 122053616640 its reverse (46616350221), we get a palindrome (168669966861).

The spelling of 122053616640 in words is "one hundred twenty-two billion, fifty-three million, six hundred sixteen thousand, six hundred forty".