11521005234312 has 64 divisors (see below), whose sum is σ = 32917639708800. Its totient is φ = 3291667591680.

The previous prime is 11521005234293. The next prime is 11521005234331. The reversal of 11521005234312 is 21343250012511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11521005234293) and next prime (11521005234331).

It is a super-2 number, since 2×11521005234312² (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 11521005234312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11920014 + ... + 12850242.

It is an arithmetic number, because the mean of its divisors is an integer number (514338120450).

Almost surely, 2^{11521005234312} is an apocalyptic number.

11521005234312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11521005234312 is an abundant number, since it is smaller than the sum of its proper divisors (21396634474488).

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

11521005234312 is a wasteful number, since it uses less digits than its factorization.

11521005234312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003966 (or 1003962 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 11521005234312 its reverse (21343250012511), we get a palindrome (32864255246823).

The spelling of 11521005234312 in words is "eleven trillion, five hundred twenty-one billion, five million, two hundred thirty-four thousand, three hundred twelve".