10122211320000 has 560 divisors, whose sum is σ = 36070830039552. Its totient is φ = 2489541120000.

The previous prime is 10122211319921. The next prime is 10122211320043. The reversal of 10122211320000 is 2311222101.

It is a super-2 number, since 2×10122211320000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2787718185 + ... + 2787721815.

Almost surely, 2^{10122211320000} is an apocalyptic number.

10122211320000 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 10122211320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18035415019776).

10122211320000 is an abundant number, since it is smaller than the sum of its proper divisors (25948618719552).

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

10122211320000 is a wasteful number, since it uses less digits than its factorization.

10122211320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5466 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10122211320000 its reverse (2311222101), we get a palindrome (10124522542101).

The spelling of 10122211320000 in words is "ten trillion, one hundred twenty-two billion, two hundred eleven million, three hundred twenty thousand".