10120223011312 has 80 divisors (see below), whose sum is σ = 20755037306880. Its totient is φ = 4770461696000.

The previous prime is 10120223011229. The next prime is 10120223011319. The reversal of 10120223011312 is 21311032202101.

It is a super-2 number, since 2×10120223011312² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10120223011312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120223011319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86921937 + ... + 87038287.

It is an arithmetic number, because the mean of its divisors is an integer number (259437966336).

Almost surely, 2^{10120223011312} 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 10120223011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10377518653440).

10120223011312 is an abundant number, since it is smaller than the sum of its proper divisors (10634814295568).

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

10120223011312 is a wasteful number, since it uses less digits than its factorization.

10120223011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119782 (or 119776 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10120223011312 its reverse (21311032202101), we get a palindrome (31431255213413).

The spelling of 10120223011312 in words is "ten trillion, one hundred twenty billion, two hundred twenty-three million, eleven thousand, three hundred twelve".