122611520000 has 150 divisors (see below), whose sum is σ = 306626819103. Its totient is φ = 48965376000.

The previous prime is 122611519993. The next prime is 122611520023. The reversal of 122611520000 is 25116221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 28347783424 + 94263736576 = 168368^2 + 307024^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247600.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 198079691 + ... + 198080309.

Almost surely, 2^122611520000 is an apocalyptic number.

122611520000 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 122611520000

122611520000 is an abundant number, since it is smaller than the sum of its proper divisors (184015299103).

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

122611520000 is an frugal number, since it uses more digits than its factorization.

122611520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 122611520000 its reverse (25116221), we get a palindrome (122636636221).

The spelling of 122611520000 in words is "one hundred twenty-two billion, six hundred eleven million, five hundred twenty thousand".