124202144220400 has 120 divisors (see below), whose sum is σ = 306019587778560. Its totient is φ = 48420369473280.

The previous prime is 124202144220317. The next prime is 124202144220433. The reversal of 124202144220400 is 4022441202421.

It is a happy number.

It is a super-2 number, since 2×124202144220400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9327924 + ... + 18314323.

It is an arithmetic number, because the mean of its divisors is an integer number (2550163231488).

Almost surely, 2^{124202144220400} is an apocalyptic number.

124202144220400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124202144220400 is an abundant number, since it is smaller than the sum of its proper divisors (181817443558160).

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

124202144220400 is a wasteful number, since it uses less digits than its factorization.

124202144220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27642551 (or 27642540 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 124202144220400 its reverse (4022441202421), we get a palindrome (128224585422821).

The spelling of 124202144220400 in words is "one hundred twenty-four trillion, two hundred two billion, one hundred forty-four million, two hundred twenty thousand, four hundred".