11034121221312 has 112 divisors (see below), whose sum is σ = 33369956274432. Its totient is φ = 3152145392640.

The previous prime is 11034121221289. The next prime is 11034121221313. The reversal of 11034121221312 is 21312212143011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×11034121221312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11034121221313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8654362 + ... + 9847142.

Almost surely, 2^{11034121221312} is an apocalyptic number.

11034121221312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11034121221312 is an abundant number, since it is smaller than the sum of its proper divisors (22335835053120).

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

11034121221312 is a wasteful number, since it uses less digits than its factorization.

11034121221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199686 (or 1199676 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11034121221312 its reverse (21312212143011), we get a palindrome (32346333364323).

The spelling of 11034121221312 in words is "eleven trillion, thirty-four billion, one hundred twenty-one million, two hundred twenty-one thousand, three hundred twelve".