20120117101700 has 288 divisors, whose sum is σ = 57890054799360. Its totient is φ = 5876300851200.

The previous prime is 20120117101661. The next prime is 20120117101753. The reversal of 20120117101700 is 710171102102.

It is a super-2 number, since 2×20120117101700² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29375741 + ... + 30052859.

It is an arithmetic number, because the mean of its divisors is an integer number (201007134720).

Almost surely, 2^{20120117101700} is an apocalyptic number.

20120117101700 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 20120117101700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28945027399680).

20120117101700 is an abundant number, since it is smaller than the sum of its proper divisors (37769937697660).

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

20120117101700 is a wasteful number, since it uses less digits than its factorization.

20120117101700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677395 (or 677388 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 23.

Adding to 20120117101700 its reverse (710171102102), we get a palindrome (20830288203802).

The spelling of 20120117101700 in words is "twenty trillion, one hundred twenty billion, one hundred seventeen million, one hundred one thousand, seven hundred".