36212436120 has 256 divisors, whose sum is σ = 125572654080. Its totient is φ = 8183347200.

The previous prime is 36212436031. The next prime is 36212436209. The reversal of 36212436120 is 2163421263.

It is an interprime number because it is at equal distance from previous prime (36212436031) and next prime (36212436209).

It is a super-2 number, since 2×36212436120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 30661930 + ... + 30663110.

It is an arithmetic number, because the mean of its divisors is an integer number (490518180).

Almost surely, 2^36212436120 is an apocalyptic number.

36212436120 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 36212436120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62786327040).

36212436120 is an abundant number, since it is smaller than the sum of its proper divisors (89360217960).

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

36212436120 is a wasteful number, since it uses less digits than its factorization.

36212436120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 36212436120 its reverse (2163421263), we get a palindrome (38375857383).

The spelling of 36212436120 in words is "thirty-six billion, two hundred twelve million, four hundred thirty-six thousand, one hundred twenty".