11947219200 has 1296 divisors, whose sum is σ = 54609629760. Its totient is φ = 2539192320.

The previous prime is 11947219181. The next prime is 11947219211. The reversal of 11947219200 is 291274911.

It is a super-2 number, since 2×11947219200² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 143942359 + ... + 143942441.

It is an arithmetic number, because the mean of its divisors is an integer number (42137060).

Almost surely, 2^11947219200 is an apocalyptic number.

11947219200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11947219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27304814880).

11947219200 is an abundant number, since it is smaller than the sum of its proper divisors (42662410560).

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

11947219200 is a wasteful number, since it uses less digits than its factorization.

11947219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 11947219200 in words is "eleven billion, nine hundred forty-seven million, two hundred nineteen thousand, two hundred".