11210001424512 has 192 divisors, whose sum is σ = 32733885434880. Its totient is φ = 3396526848000.

The previous prime is 11210001424493. The next prime is 11210001424651. The reversal of 11210001424512 is 21542410001211.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×11210001424512² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612525762 + ... + 612544062.

It is an arithmetic number, because the mean of its divisors is an integer number (170488986640).

Almost surely, 2^{11210001424512} is an apocalyptic number.

11210001424512 is a gapful number since it is divisible by the number (12) 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 11210001424512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16366942717440).

11210001424512 is an abundant number, since it is smaller than the sum of its proper divisors (21523884010368).

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

11210001424512 is a wasteful number, since it uses less digits than its factorization.

11210001424512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31523 (or 31500 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 11210001424512 its reverse (21542410001211), we get a palindrome (32752411425723).

The spelling of 11210001424512 in words is "eleven trillion, two hundred ten billion, one million, four hundred twenty-four thousand, five hundred twelve".