22133212144000 has 64 divisors (see below), whose sum is σ = 55028698732800. Its totient is φ = 8853284851200.

The previous prime is 22133212143937. The next prime is 22133212144031. The reversal of 22133212144000 is 44121233122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×22133212144000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 691646880 + ... + 691678879.

It is an arithmetic number, because the mean of its divisors is an integer number (859823417700).

Almost surely, 2^{22133212144000} is an apocalyptic number.

22133212144000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133212144000 is an abundant number, since it is smaller than the sum of its proper divisors (32895486588800).

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

22133212144000 is an equidigital number, since it uses as much as digits as its factorization.

22133212144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383325788 (or 1383325766 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 22133212144000 its reverse (44121233122), we get a palindrome (22177333377122).

The spelling of 22133212144000 in words is "twenty-two trillion, one hundred thirty-three billion, two hundred twelve million, one hundred forty-four thousand".