11919801240 has 576 divisors, whose sum is σ = 43935091200. Its totient is φ = 2904056064.

The previous prime is 11919801233. The next prime is 11919801263. The reversal of 11919801240 is 4210891911.

It is a super-2 number, since 2×11919801240² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11919801195 and 11919801204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 150883521 + ... + 150883599.

It is an arithmetic number, because the mean of its divisors is an integer number (76276200).

Almost surely, 2^11919801240 is an apocalyptic number.

11919801240 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 11919801240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21967545600).

11919801240 is an abundant number, since it is smaller than the sum of its proper divisors (32015289960).

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

11919801240 is a wasteful number, since it uses less digits than its factorization.

11919801240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 11919801240 in words is "eleven billion, nine hundred nineteen million, eight hundred one thousand, two hundred forty".