11221729420200 has 576 divisors, whose sum is σ = 39931312089600. Its totient is φ = 2596766515200.

The previous prime is 11221729420171. The next prime is 11221729420207. The reversal of 11221729420200 is 202492712211.

It is a super-2 number, since 2×11221729420200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11221729420207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1708282516 + ... + 1708289084.

It is an arithmetic number, because the mean of its divisors is an integer number (69325194600).

Almost surely, 2^{11221729420200} is an apocalyptic number.

11221729420200 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 11221729420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19965656044800).

11221729420200 is an abundant number, since it is smaller than the sum of its proper divisors (28709582669400).

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

11221729420200 is a wasteful number, since it uses less digits than its factorization.

11221729420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7622 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 11221729420200 in words is "eleven trillion, two hundred twenty-one billion, seven hundred twenty-nine million, four hundred twenty thousand, two hundred".