1122675870096 has 405 divisors, whose sum is σ = 3620585811297. Its totient is φ = 324480879360.

The previous prime is 1122675869993. The next prime is 1122675870179. The reversal of 1122675870096 is 6900785762211.

The square root of 1122675870096 is 1059564.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 824035479696 + 298640390400 = 907764^2 + 546480^2 .

It is a super-2 number, since 2×1122675870096² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3216836130 + ... + 3216836478.

Almost surely, 2^{1122675870096} is an apocalyptic number.

1122675870096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1122675870096 is the 1059564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122675870096

1122675870096 is an abundant number, since it is smaller than the sum of its proper divisors (2497909941201).

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

1122675870096 is a wasteful number, since it uses less digits than its factorization.

1122675870096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1122675870096 in words is "one trillion, one hundred twenty-two billion, six hundred seventy-five million, eight hundred seventy thousand, ninety-six".