1417122365120 has 224 divisors, whose sum is σ = 4233020069376. Its totient is φ = 438989414400.

The previous prime is 1417122365119. The next prime is 1417122365161. The reversal of 1417122365120 is 215632217141.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1417122365120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 3839900 + ... + 4192740.

It is an arithmetic number, because the mean of its divisors is an integer number (18897411024).

Almost surely, 2^{1417122365120} is an apocalyptic number.

1417122365120 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 1417122365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116510034688).

1417122365120 is an abundant number, since it is smaller than the sum of its proper divisors (2815897704256).

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

1417122365120 is a wasteful number, since it uses less digits than its factorization.

1417122365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353039 (or 353029 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 1417122365120 in words is "one trillion, four hundred seventeen billion, one hundred twenty-two million, three hundred sixty-five thousand, one hundred twenty".