21462123100000 has 144 divisors (see below), whose sum is σ = 57614799260592. Its totient is φ = 7804408000000.

The previous prime is 21462123099979. The next prime is 21462123100001. The reversal of 21462123100000 is 132126412.

It is a super-2 number, since 2×21462123100000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21462123100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8655511 + ... + 10855510.

It is an arithmetic number, because the mean of its divisors is an integer number (400102772643).

Almost surely, 2^{21462123100000} is an apocalyptic number.

21462123100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21462123100000 is an abundant number, since it is smaller than the sum of its proper divisors (36152676160592).

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

21462123100000 is an equidigital number, since it uses as much as digits as its factorization.

21462123100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19511067 (or 19511039 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 21462123100000 its reverse (132126412), we get a palindrome (21462255226412).

The spelling of 21462123100000 in words is "twenty-one trillion, four hundred sixty-two billion, one hundred twenty-three million, one hundred thousand".