10222123331040 has 96 divisors (see below), whose sum is σ = 32206820728320. Its totient is φ = 2725295768064.

The previous prime is 10222123331029. The next prime is 10222123331087. The reversal of 10222123331040 is 4013332122201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10222123331040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187164 + ... + 4525403.

It is an arithmetic number, because the mean of its divisors is an integer number (335487715920).

Almost surely, 2^{10222123331040} is an apocalyptic number.

10222123331040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222123331040 is an abundant number, since it is smaller than the sum of its proper divisors (21984697397280).

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

10222123331040 is a wasteful number, since it uses less digits than its factorization.

10222123331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4717104 (or 4717096 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10222123331040 its reverse (4013332122201), we get a palindrome (14235455453241).

The spelling of 10222123331040 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty-three million, three hundred thirty-one thousand, forty".