1101272818320 has 400 divisors, whose sum is σ = 4111878608640. Its totient is φ = 272295364608.

The previous prime is 1101272818319. The next prime is 1101272818333. The reversal of 1101272818320 is 238182721011.

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 79 ways as a sum of consecutive naturals, for example, 5691484 + ... + 5881796.

Almost surely, 2^{1101272818320} is an apocalyptic number.

1101272818320 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 1101272818320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055939304320).

1101272818320 is an abundant number, since it is smaller than the sum of its proper divisors (3010605790320).

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

1101272818320 is a wasteful number, since it uses less digits than its factorization.

1101272818320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190404 (or 190389 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 1101272818320 in words is "one trillion, one hundred one billion, two hundred seventy-two million, eight hundred eighteen thousand, three hundred twenty".