11413212000 has 96 divisors (see below), whose sum is σ = 37389721824. Its totient is φ = 3043520000.

The previous prime is 11413211983. The next prime is 11413212001. The reversal of 11413212000 is 21231411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11413212000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11413212001) 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, 463551 + ... + 487550.

It is an arithmetic number, because the mean of its divisors is an integer number (389476269).

Almost surely, 2^11413212000 is an apocalyptic number.

11413212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11413212000 is an abundant number, since it is smaller than the sum of its proper divisors (25976509824).

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

11413212000 is an equidigital number, since it uses as much as digits as its factorization.

11413212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951129 (or 951111 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11413212000 its reverse (21231411), we get a palindrome (11434443411).

The spelling of 11413212000 in words is "eleven billion, four hundred thirteen million, two hundred twelve thousand".