10123012031220 has 288 divisors, whose sum is σ = 33688814664960. Its totient is φ = 2440095252480.

The previous prime is 10123012031219. The next prime is 10123012031227. The reversal of 10123012031220 is 2213021032101.

10123012031220 is a `hidden beast` number, since 1 + 0 + 1 + 230 + 120 + 312 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10123012031193 and 10123012031202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123012031227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 900698361 + ... + 900709599.

It is an arithmetic number, because the mean of its divisors is an integer number (116975050920).

Almost surely, 2^{10123012031220} is an apocalyptic number.

10123012031220 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 10123012031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16844407332480).

10123012031220 is an abundant number, since it is smaller than the sum of its proper divisors (23565802633740).

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

10123012031220 is a wasteful number, since it uses less digits than its factorization.

10123012031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13815 (or 13810 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10123012031220 its reverse (2213021032101), we get a palindrome (12336033063321).

The spelling of 10123012031220 in words is "ten trillion, one hundred twenty-three billion, twelve million, thirty-one thousand, two hundred twenty".