11231292226800 has 480 divisors, whose sum is σ = 37418679336960. Its totient is φ = 2877529779200.

The previous prime is 11231292226733. The next prime is 11231292226807. The reversal of 11231292226800 is 862229213211.

It is a super-2 number, since 2×11231292226800² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11231292226807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2871716845 + ... + 2871720755.

It is an arithmetic number, because the mean of its divisors is an integer number (77955581952).

Almost surely, 2^{11231292226800} is an apocalyptic number.

11231292226800 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 11231292226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18709339668480).

11231292226800 is an abundant number, since it is smaller than the sum of its proper divisors (26187387110160).

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

11231292226800 is a wasteful number, since it uses less digits than its factorization.

11231292226800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901 (or 4890 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 11231292226800 in words is "eleven trillion, two hundred thirty-one billion, two hundred ninety-two million, two hundred twenty-six thousand, eight hundred".