1100712817152 has 640 divisors, whose sum is σ = 3573341291520. Its totient is φ = 332519178240.

The previous prime is 1100712817123. The next prime is 1100712817189. The reversal of 1100712817152 is 2517182170011.

It is a super-2 number, since 2×1100712817152² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4061670777 + ... + 4061671047.

It is an arithmetic number, because the mean of its divisors is an integer number (5583345768).

Almost surely, 2^{1100712817152} is an apocalyptic number.

1100712817152 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 1100712817152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786670645760).

1100712817152 is an abundant number, since it is smaller than the sum of its proper divisors (2472628474368).

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

1100712817152 is a wasteful number, since it uses less digits than its factorization.

1100712817152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 36.

Adding to 1100712817152 its reverse (2517182170011), we get a palindrome (3617894987163).

The spelling of 1100712817152 in words is "one trillion, one hundred billion, seven hundred twelve million, eight hundred seventeen thousand, one hundred fifty-two".