125400133012000 has 288 divisors, whose sum is σ = 390994364307456. Its totient is φ = 39085755072000.

The previous prime is 125400133011991. The next prime is 125400133012039. The reversal of 125400133012000 is 210331004521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26925664 + ... + 31237663.

It is an arithmetic number, because the mean of its divisors is an integer number (1357619320512).

Almost surely, 2^{125400133012000} is an apocalyptic number.

125400133012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125400133012000 is an abundant number, since it is smaller than the sum of its proper divisors (265594231295456).

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

125400133012000 is a wasteful number, since it uses less digits than its factorization.

125400133012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58163377 (or 58163352 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 125400133012000 its reverse (210331004521), we get a palindrome (125610464016521).

The spelling of 125400133012000 in words is "one hundred twenty-five trillion, four hundred billion, one hundred thirty-three million, twelve thousand".