121020494400 has 567 divisors, whose sum is σ = 467865942219. Its totient is φ = 29656074240.

The previous prime is 121020494393. The next prime is 121020494407. The reversal of 121020494400 is 4494020121.

It is a happy number.

The square root of 121020494400 is 347880.

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

121020494400 is a `hidden beast` number, since 1 + 2 + 10 + 204 + 9 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121020494393) and next prime (121020494407).

It can be written as a sum of positive squares in 4 ways, for example, as 31193211456 + 89827282944 = 176616^2 + 299712^2 .

It is not an unprimeable number, because it can be changed into a prime (121020494407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 542692689 + ... + 542692911.

Almost surely, 2^121020494400 is an apocalyptic number.

121020494400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121020494400 is the 347880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121020494400

121020494400 is an abundant number, since it is smaller than the sum of its proper divisors (346845447819).

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

121020494400 is a wasteful number, since it uses less digits than its factorization.

121020494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Multiplying 121020494400 by its product of nonzero digits (2304), we get a square (278831219097600 = 16698240²).

The spelling of 121020494400 in words is "one hundred twenty-one billion, twenty million, four hundred ninety-four thousand, four hundred".