121413909364804 has 27 divisors (see below), whose sum is σ = 247164343814493. Its totient is φ = 52034466472128.

The previous prime is 121413909364801. The next prime is 121413909364873. The reversal of 121413909364804 is 408463909314121.

The square root of 121413909364804 is 11018798.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27004547628100 + 94409361736704 = 5196590^2 + 9716448^2 .

It is not an unprimeable number, because it can be changed into a prime (121413909364801) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 153869644 + ... + 154656700.

Almost surely, 2^{121413909364804} is an apocalyptic number.

121413909364804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

121413909364804 is the 11018798-th square number.

It is an amenable number.

121413909364804 is an abundant number, since it is smaller than the sum of its proper divisors (125750434449689).

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

121413909364804 is an frugal number, since it uses more digits than its factorization.

121413909364804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574132 (or 787066 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 121413909364804 in words is "one hundred twenty-one trillion, four hundred thirteen billion, nine hundred nine million, three hundred sixty-four thousand, eight hundred four".