117217740013000 has 256 divisors, whose sum is σ = 303620038675200. Its totient is φ = 42353062752000.

The previous prime is 117217740012973. The next prime is 117217740013007. The reversal of 117217740013000 is 310047712711.

It is a super-2 number, since 2×117217740013000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (117217740013007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208686531 + ... + 209247469.

It is an arithmetic number, because the mean of its divisors is an integer number (1186015776075).

Almost surely, 2^{117217740013000} is an apocalyptic number.

117217740013000 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 117217740013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151810019337600).

117217740013000 is an abundant number, since it is smaller than the sum of its proper divisors (186402298662200).

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

117217740013000 is a wasteful number, since it uses less digits than its factorization.

117217740013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561150 (or 561114 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 34.

Adding to 117217740013000 its reverse (310047712711), we get a palindrome (117527787725711).

The spelling of 117217740013000 in words is "one hundred seventeen trillion, two hundred seventeen billion, seven hundred forty million, thirteen thousand".