36122112000 has 1040 divisors, whose sum is σ = 147191876832. Its totient is φ = 8758886400.

The previous prime is 36122111981. The next prime is 36122112017. The reversal of 36122112000 is 21122163.

It is a tau number, because it is divible by the number of its divisors (1040).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 539135967 + ... + 539136033.

Almost surely, 2^36122112000 is an apocalyptic number.

36122112000 is a gapful number since it is divisible by the number (30) 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 36122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73595938416).

36122112000 is an abundant number, since it is smaller than the sum of its proper divisors (111069764832).

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

36122112000 is an equidigital number, since it uses as much as digits as its factorization.

36122112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 36122112000 its reverse (21122163), we get a palindrome (36143234163).

The spelling of 36122112000 in words is "thirty-six billion, one hundred twenty-two million, one hundred twelve thousand".