10120222412300 has 288 divisors, whose sum is σ = 30767944725504. Its totient is φ = 2785115520000.

The previous prime is 10120222412239. The next prime is 10120222412317. The reversal of 10120222412300 is 321422202101.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 104450 + ... + 4500150.

It is an arithmetic number, because the mean of its divisors is an integer number (106833141408).

Almost surely, 2^{10120222412300} is an apocalyptic number.

10120222412300 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 10120222412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15383972362752).

10120222412300 is an abundant number, since it is smaller than the sum of its proper divisors (20647722313204).

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

10120222412300 is a wasteful number, since it uses less digits than its factorization.

10120222412300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395769 (or 4395762 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10120222412300 its reverse (321422202101), we get a palindrome (10441644614401).

The spelling of 10120222412300 in words is "ten trillion, one hundred twenty billion, two hundred twenty-two million, four hundred twelve thousand, three hundred".