10120222011120 has 240 divisors, whose sum is σ = 33995609891712. Its totient is φ = 2489371622400.

The previous prime is 10120222011083. The next prime is 10120222011139. The reversal of 10120222011120 is 2111022202101.

10120222011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10120222011120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57791695 + ... + 57966545.

Almost surely, 2^{10120222011120} is an apocalyptic number.

10120222011120 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 10120222011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16997804945856).

10120222011120 is an abundant number, since it is smaller than the sum of its proper divisors (23875387880592).

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

10120222011120 is a wasteful number, since it uses less digits than its factorization.

10120222011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176320 (or 176301 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10120222011120 its reverse (2111022202101), we get a palindrome (12231244213221).

The spelling of 10120222011120 in words is "ten trillion, one hundred twenty billion, two hundred twenty-two million, eleven thousand, one hundred twenty".