11947034200 has 96 divisors (see below), whose sum is σ = 28715304960. Its totient is φ = 4617820800.

The previous prime is 11947034179. The next prime is 11947034201. The reversal of 11947034200 is 243074911.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11947034201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6837727 + ... + 6839473.

It is an arithmetic number, because the mean of its divisors is an integer number (299117760).

Almost surely, 2^11947034200 is an apocalyptic number.

11947034200 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 11947034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14357652480).

11947034200 is an abundant number, since it is smaller than the sum of its proper divisors (16768270760).

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

11947034200 is a wasteful number, since it uses less digits than its factorization.

11947034200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 11947034200 in words is "eleven billion, nine hundred forty-seven million, thirty-four thousand, two hundred".