111011220264420 has 384 divisors, whose sum is σ = 418055283717120. Its totient is φ = 23873937408000.

The previous prime is 111011220264419. The next prime is 111011220264421. The reversal of 111011220264420 is 24462022110111.

111011220264420 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 1 + 12 + 2 + 0 + 2 + 644 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (111011220264419) and next prime (111011220264421).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (111011220264421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 206455920 + ... + 206992920.

It is an arithmetic number, because the mean of its divisors is an integer number (1088685634680).

Almost surely, 2^{111011220264420} is an apocalyptic number.

111011220264420 is a gapful number since it is divisible by the number (10) 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 111011220264420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209027641858560).

111011220264420 is an abundant number, since it is smaller than the sum of its proper divisors (307044063452700).

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

111011220264420 is a wasteful number, since it uses less digits than its factorization.

111011220264420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540260 (or 540252 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 111011220264420 its reverse (24462022110111), we get a palindrome (135473242374531).

The spelling of 111011220264420 in words is "one hundred eleven trillion, eleven billion, two hundred twenty million, two hundred sixty-four thousand, four hundred twenty".