11982120710400 has 243 divisors, whose sum is σ = 42841756215349. Its totient is φ = 3195010652160.

The previous prime is 11982120710389. The next prime is 11982120710501. The reversal of 11982120710400 is 401702128911.

The square root of 11982120710400 is 3461520.

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

11982120710400 is a `hidden beast` number, since 1 + 19 + 8 + 21 + 207 + 10 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4313563455744 + 7668557254656 = 2076912^2 + 2769216^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 830757589 + ... + 830772011.

Almost surely, 2^{11982120710400} is an apocalyptic number.

11982120710400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11982120710400 is the 3461520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11982120710400

11982120710400 is an abundant number, since it is smaller than the sum of its proper divisors (30859635504949).

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

11982120710400 is an frugal number, since it uses more digits than its factorization.

11982120710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28878 (or 14433 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

Multiplying 11982120710400 by its sum of digits (36), we get a square (431356345574400 = 20769120²).

11982120710400 divided by its sum of digits (36) gives a square (332836686400 = 576920²).

The spelling of 11982120710400 in words is "eleven trillion, nine hundred eighty-two billion, one hundred twenty million, seven hundred ten thousand, four hundred".