10222514120 has 384 divisors, whose sum is σ = 31370250240. Its totient is φ = 2906357760.

The previous prime is 10222514063. The next prime is 10222514149. The reversal of 10222514120 is 2141522201.

10222514120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 10222514092 and 10222514101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140034404 + ... + 140034476.

It is an arithmetic number, because the mean of its divisors is an integer number (81693360).

Almost surely, 2^10222514120 is an apocalyptic number.

10222514120 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 10222514120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685125120).

10222514120 is an abundant number, since it is smaller than the sum of its proper divisors (21147736120).

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

10222514120 is a wasteful number, since it uses less digits than its factorization.

10222514120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The spelling of 10222514120 in words is "ten billion, two hundred twenty-two million, five hundred fourteen thousand, one hundred twenty".