22414143102120 has 1152 divisors, whose sum is σ = 95743962662400. Its totient is φ = 4491544780800.

The previous prime is 22414143102097. The next prime is 22414143102157. The reversal of 22414143102120 is 2120134141422.

22414143102120 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 414 + 31 + 0 + 212 + 0 = 666.

It is a super-2 number, since 2×22414143102120² (a number of 28 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 6172992705 + ... + 6172996335.

It is an arithmetic number, because the mean of its divisors is an integer number (83111078700).

Almost surely, 2^{22414143102120} is an apocalyptic number.

22414143102120 is a gapful number since it is divisible by the number (20) 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 22414143102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47871981331200).

22414143102120 is an abundant number, since it is smaller than the sum of its proper divisors (73329819560280).

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

22414143102120 is a wasteful number, since it uses less digits than its factorization.

22414143102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4799 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 22414143102120 its reverse (2120134141422), we get a palindrome (24534277243542).

The spelling of 22414143102120 in words is "twenty-two trillion, four hundred fourteen billion, one hundred forty-three million, one hundred two thousand, one hundred twenty".