120006816400 has 45 divisors (see below), whose sum is σ = 288333022843. Its totient is φ = 47999955200.

The previous prime is 120006816373. The next prime is 120006816409. The reversal of 120006816400 is 4618600021.

The square root of 120006816400 is 346420.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15868944784 + 104137871616 = 125972^2 + 322704^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120006816409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6919740 + ... + 6937060.

Almost surely, 2^120006816400 is an apocalyptic number.

120006816400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120006816400 is the 346420-th square number.

It is an amenable number.

120006816400 is an abundant number, since it is smaller than the sum of its proper divisors (168326206443).

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

120006816400 is an frugal number, since it uses more digits than its factorization.

120006816400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34660 (or 17328 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Multiplying 120006816400 by its product of nonzero digits (2304), we get a square (276495704985600 = 16628160²).

The spelling of 120006816400 in words is "one hundred twenty billion, six million, eight hundred sixteen thousand, four hundred".