12108267990 has 480 divisors, whose sum is σ = 42157995264. Its totient is φ = 2469035520.

The previous prime is 12108267973. The next prime is 12108268009. The reversal of 12108267990 is 9976280121.

12108267990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12108267990² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15994692 + ... + 15995448.

Almost surely, 2^12108267990 is an apocalyptic number.

12108267990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12108267990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21078997632).

12108267990 is an abundant number, since it is smaller than the sum of its proper divisors (30049727274).

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

12108267990 is a wasteful number, since it uses less digits than its factorization.

12108267990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

It can be divided in two parts, 1210826 and 7990, that added together give a square (1218816 = 1104²).

The spelling of 12108267990 in words is "twelve billion, one hundred eight million, two hundred sixty-seven thousand, nine hundred ninety".