4636122117120 has 2112 divisors, whose sum is σ = 18874861264896. Its totient is φ = 1083553873920.

The previous prime is 4636122117041. The next prime is 4636122117149. The reversal of 4636122117120 is 217112216364.

4636122117120 is a `hidden beast` number, since 4 + 6 + 3 + 612 + 2 + 1 + 17 + 1 + 20 = 666.

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36504898497 + ... + 36504898623.

Almost surely, 2^{4636122117120} is an apocalyptic number.

4636122117120 is a gapful number since it is divisible by the number (40) 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 4636122117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9437430632448).

4636122117120 is an abundant number, since it is smaller than the sum of its proper divisors (14238739147776).

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

4636122117120 is a wasteful number, since it uses less digits than its factorization.

4636122117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 4636122117120 in words is "four trillion, six hundred thirty-six billion, one hundred twenty-two million, one hundred seventeen thousand, one hundred twenty".