122004131301000 has 192 divisors, whose sum is σ = 444095038361520. Its totient is φ = 30031786137600.

The previous prime is 122004131300983. The next prime is 122004131301001. The reversal of 122004131301000 is 103131400221.

122004131301000 is a `hidden beast` number, since 1 + 2 + 20 + 0 + 413 + 130 + 100 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1652217168996 + 120351914132004 = 1285386^2 + 10970502^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122004131301001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 521268177 + ... + 521502176.

Almost surely, 2^{122004131301000} is an apocalyptic number.

122004131301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122004131301000 is an abundant number, since it is smaller than the sum of its proper divisors (322090907060520).

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

122004131301000 is a wasteful number, since it uses less digits than its factorization.

122004131301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042770393 (or 1042770376 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122004131301000 its reverse (103131400221), we get a palindrome (122107262701221).

The spelling of 122004131301000 in words is "one hundred twenty-two trillion, four billion, one hundred thirty-one million, three hundred one thousand".