220124113243200 has 504 divisors, whose sum is σ = 828450321678720. Its totient is φ = 55243148083200.

The previous prime is 220124113243193. The next prime is 220124113243207. The reversal of 220124113243200 is 2342311421022.

220124113243200 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 2 + 4 + 11 + 324 + 320 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (220124113243193) and next prime (220124113243207).

It is a super-2 number, since 2×220124113243200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220124113243207) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 7028437141 + ... + 7028468459.

Almost surely, 2^{220124113243200} is an apocalyptic number.

220124113243200 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 220124113243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414225160839360).

220124113243200 is an abundant number, since it is smaller than the sum of its proper divisors (608326208435520).

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

220124113243200 is a wasteful number, since it uses less digits than its factorization.

220124113243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60075 (or 60057 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 220124113243200 its reverse (2342311421022), we get a palindrome (222466424664222).

The spelling of 220124113243200 in words is "two hundred twenty trillion, one hundred twenty-four billion, one hundred thirteen million, two hundred forty-three thousand, two hundred".