122101346624 has 56 divisors (see below), whose sum is σ = 249900691968. Its totient is φ = 59159974400.

The previous prime is 122101346603. The next prime is 122101346677. The reversal of 122101346624 is 426643101221.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102857 + ... + 504759.

Almost surely, 2^122101346624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122101346624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124950345984).

122101346624 is an abundant number, since it is smaller than the sum of its proper divisors (127799345344).

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

122101346624 is a wasteful number, since it uses less digits than its factorization.

122101346624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402063 (or 402053 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 122101346624 its reverse (426643101221), we get a palindrome (548744447845).

The spelling of 122101346624 in words is "one hundred twenty-two billion, one hundred one million, three hundred forty-six thousand, six hundred twenty-four".