10122054248544 has 192 divisors, whose sum is σ = 31062411878400. Its totient is φ = 2825905125888.

The previous prime is 10122054248483. The next prime is 10122054248561. The reversal of 10122054248544 is 44584245022101.

It is a happy number.

It is a super-2 number, since 2×10122054248544² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10122054248496 and 10122054248505.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19291627 + ... + 19809365.

It is an arithmetic number, because the mean of its divisors is an integer number (161783395200).

Almost surely, 2^{10122054248544} is an apocalyptic number.

10122054248544 is a gapful number since it is divisible by the number (14) 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 10122054248544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15531205939200).

10122054248544 is an abundant number, since it is smaller than the sum of its proper divisors (20940357629856).

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

10122054248544 is a wasteful number, since it uses less digits than its factorization.

10122054248544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518425 (or 518417 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 42.

The spelling of 10122054248544 in words is "ten trillion, one hundred twenty-two billion, fifty-four million, two hundred forty-eight thousand, five hundred forty-four".