11211259497152 has 224 divisors, whose sum is σ = 26662777849344. Its totient is φ = 4610292940800.

The previous prime is 11211259497089. The next prime is 11211259497157. The reversal of 11211259497152 is 25179495211211.

It is a super-2 number, since 2×11211259497152² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11211259497152.

It is not an unprimeable number, because it can be changed into a prime (11211259497157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91376327 + ... + 91498937.

It is an arithmetic number, because the mean of its divisors is an integer number (119030258256).

Almost surely, 2^{11211259497152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211259497152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13331388924672).

11211259497152 is an abundant number, since it is smaller than the sum of its proper divisors (15451518352192).

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

11211259497152 is a wasteful number, since it uses less digits than its factorization.

11211259497152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122847 (or 122837 counting only the distinct ones).

The product of its digits is 453600, while the sum is 50.

The spelling of 11211259497152 in words is "eleven trillion, two hundred eleven billion, two hundred fifty-nine million, four hundred ninety-seven thousand, one hundred fifty-two".