122002734400 has 84 divisors (see below), whose sum is σ = 308316721948. Its totient is φ = 47482122240.

The previous prime is 122002734377. The next prime is 122002734433. The reversal of 122002734400 is 4437200221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 13245247744 + 108757486656 = 115088^2 + 329784^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 971229 + ... + 1089628.

Almost surely, 2^122002734400 is an apocalyptic number.

122002734400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122002734400 is an abundant number, since it is smaller than the sum of its proper divisors (186313987548).

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

122002734400 is a wasteful number, since it uses less digits than its factorization.

122002734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060916 (or 2060901 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

Adding to 122002734400 its reverse (4437200221), we get a palindrome (126439934621).

The spelling of 122002734400 in words is "one hundred twenty-two billion, two million, seven hundred thirty-four thousand, four hundred".