10120222200000 has 504 divisors, whose sum is σ = 36787826959632. Its totient is φ = 2453369600000.

The previous prime is 10120222199873. The next prime is 10120222200001. The reversal of 10120222200000 is 222202101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10120222200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72530302 + ... + 72669698.

It is an arithmetic number, because the mean of its divisors is an integer number (72991720158).

Almost surely, 2^{10120222200000} is an apocalyptic number.

10120222200000 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 10120222200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18393913479816).

10120222200000 is an abundant number, since it is smaller than the sum of its proper divisors (26667604759632).

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

10120222200000 is an equidigital number, since it uses as much as digits as its factorization.

10120222200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139459 (or 139418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10120222200000 its reverse (222202101), we get a palindrome (10120444402101).

The spelling of 10120222200000 in words is "ten trillion, one hundred twenty billion, two hundred twenty-two million, two hundred thousand".