121346329104 has 1215 divisors, whose sum is σ = 486968408199. Its totient is φ = 28090782720.

The previous prime is 121346329009. The next prime is 121346329127. The reversal of 121346329104 is 401923643121.

The square root of 121346329104 is 348348.

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

121346329104 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 4 + 632 + 9 + 10 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15560067600 + 105786261504 = 124740^2 + 325248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 4184356162 + ... + 4184356190.

Almost surely, 2^121346329104 is an apocalyptic number.

121346329104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

121346329104 is the 348348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121346329104

121346329104 is an abundant number, since it is smaller than the sum of its proper divisors (365622079095).

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

121346329104 is a wasteful number, since it uses less digits than its factorization.

121346329104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 121346329104 by its sum of digits (36), we get a square (4368467847744 = 2090088²).

121346329104 divided by its sum of digits (36) gives a square (3370731364 = 58058²).

The spelling of 121346329104 in words is "one hundred twenty-one billion, three hundred forty-six million, three hundred twenty-nine thousand, one hundred four".