11822137920 has 280 divisors, whose sum is σ = 43035467904. Its totient is φ = 3078964224.

The previous prime is 11822137919. The next prime is 11822137927. The reversal of 11822137920 is 2973122811.

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

It is not an unprimeable number, because it can be changed into a prime (11822137927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1109257 + ... + 1119863.

Almost surely, 2^11822137920 is an apocalyptic number.

11822137920 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 11822137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21517733952).

11822137920 is an abundant number, since it is smaller than the sum of its proper divisors (31213329984).

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

11822137920 is a wasteful number, since it uses less digits than its factorization.

11822137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10679 (or 10660 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11822137920 in words is "eleven billion, eight hundred twenty-two million, one hundred thirty-seven thousand, nine hundred twenty".