20120761668900 has 144 divisors (see below), whose sum is σ = 58304522646720. Its totient is φ = 5357388940800.

The previous prime is 20120761668877. The next prime is 20120761668901. The reversal of 20120761668900 is 986616702102.

It is a self number, because there is not a number n which added to its sum of digits gives 20120761668900.

It is not an unprimeable number, because it can be changed into a prime (20120761668901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 773237890 + ... + 773263910.

It is an arithmetic number, because the mean of its divisors is an integer number (404892518380).

Almost surely, 2^{20120761668900} is an apocalyptic number.

20120761668900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120761668900 is an abundant number, since it is smaller than the sum of its proper divisors (38183760977820).

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

20120761668900 is a wasteful number, since it uses less digits than its factorization.

20120761668900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29854 (or 29847 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 20120761668900 in words is "twenty trillion, one hundred twenty billion, seven hundred sixty-one million, six hundred sixty-eight thousand, nine hundred".