122000240400 has 60 divisors (see below), whose sum is σ = 390807440592. Its totient is φ = 32533397120.

The previous prime is 122000240381. The next prime is 122000240407. The reversal of 122000240400 is 4042000221.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×122000240400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122000240400.

It is not an unprimeable number, because it can be changed into a prime (122000240407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50832234 + ... + 50834633.

Almost surely, 2^122000240400 is an apocalyptic number.

122000240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122000240400 is an abundant number, since it is smaller than the sum of its proper divisors (268807200192).

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

122000240400 is a wasteful number, since it uses less digits than its factorization.

122000240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101666888 (or 101666877 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 122000240400 its reverse (4042000221), we get a palindrome (126042240621).

The spelling of 122000240400 in words is "one hundred twenty-two billion, two hundred forty thousand, four hundred".