113142220224 has 224 divisors, whose sum is σ = 345261346560. Its totient is φ = 32338944000.

The previous prime is 113142220199. The next prime is 113142220249. The reversal of 113142220224 is 422022241311.

It is an interprime number because it is at equal distance from previous prime (113142220199) and next prime (113142220249).

It is a super-2 number, since 2×113142220224² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 113142220194 and 113142220203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9343774 + ... + 9355874.

Almost surely, 2^113142220224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113142220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172630673280).

113142220224 is an abundant number, since it is smaller than the sum of its proper divisors (232119126336).

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

113142220224 is a wasteful number, since it uses less digits than its factorization.

113142220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12379 (or 12369 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 113142220224 its reverse (422022241311), we get a palindrome (535164461535).

The spelling of 113142220224 in words is "one hundred thirteen billion, one hundred forty-two million, two hundred twenty thousand, two hundred twenty-four".