11207722733000 has 128 divisors (see below), whose sum is σ = 27244518912000. Its totient is φ = 4310837856000.

The previous prime is 11207722732963. The next prime is 11207722733041. The reversal of 11207722733000 is 33722770211.

It is a super-2 number, since 2×11207722733000² (a number of 27 digits) contains 22 as substring.

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, 3715601 + ... + 6018399.

It is an arithmetic number, because the mean of its divisors is an integer number (212847804000).

Almost surely, 2^{11207722733000} is an apocalyptic number.

11207722733000 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 11207722733000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13622259456000).

11207722733000 is an abundant number, since it is smaller than the sum of its proper divisors (16036796179000).

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

11207722733000 is a wasteful number, since it uses less digits than its factorization.

11207722733000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303008 (or 2302994 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 35.

The spelling of 11207722733000 in words is "eleven trillion, two hundred seven billion, seven hundred twenty-two million, seven hundred thirty-three thousand".