11987403120 has 1440 divisors, whose sum is σ = 57159198720. Its totient is φ = 2214051840.

The previous prime is 11987403091. The next prime is 11987403149. The reversal of 11987403120 is 2130478911.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11987403091) and next prime (11987403149).

It is a super-2 number, since 2×11987403120² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 151739241 + ... + 151739319.

It is an arithmetic number, because the mean of its divisors is an integer number (39693888).

Almost surely, 2^11987403120 is an apocalyptic number.

11987403120 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 11987403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28579599360).

11987403120 is an abundant number, since it is smaller than the sum of its proper divisors (45171795600).

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

11987403120 is a wasteful number, since it uses less digits than its factorization.

11987403120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

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

The spelling of 11987403120 in words is "eleven billion, nine hundred eighty-seven million, four hundred three thousand, one hundred twenty".