1172126321772 has 96 divisors (see below), whose sum is σ = 3152204289024. Its totient is φ = 332058528000.

The previous prime is 1172126321731. The next prime is 1172126321801. The reversal of 1172126321772 is 2771236212711.

It is a super-2 number, since 2×1172126321772² (a number of 25 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6776638 + ... + 6947450.

It is an arithmetic number, because the mean of its divisors is an integer number (32835461344).

Almost surely, 2^{1172126321772} is an apocalyptic number.

1172126321772 is a gapful number since it is divisible by the number (12) 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 1172126321772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576102144512).

1172126321772 is an abundant number, since it is smaller than the sum of its proper divisors (1980077967252).

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

1172126321772 is a wasteful number, since it uses less digits than its factorization.

1172126321772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171519 (or 171517 counting only the distinct ones).

The product of its digits is 98784, while the sum is 42.

The spelling of 1172126321772 in words is "one trillion, one hundred seventy-two billion, one hundred twenty-six million, three hundred twenty-one thousand, seven hundred seventy-two".