122121310160 has 80 divisors (see below), whose sum is σ = 301486770576. Its totient is φ = 45844660224.

The previous prime is 122121310147. The next prime is 122121310229. The reversal of 122121310160 is 61013121221.

It can be written as a sum of positive squares in 8 ways, for example, as 17194552384 + 104926757776 = 131128^2 + 323924^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×122121310160² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352892 + ... + 607268.

Almost surely, 2^122121310160 is an apocalyptic number.

122121310160 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 122121310160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150743385288).

122121310160 is an abundant number, since it is smaller than the sum of its proper divisors (179365460416).

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

122121310160 is a wasteful number, since it uses less digits than its factorization.

122121310160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254760 (or 254754 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 122121310160 its reverse (61013121221), we get a palindrome (183134431381).

The spelling of 122121310160 in words is "one hundred twenty-two billion, one hundred twenty-one million, three hundred ten thousand, one hundred sixty".