214402221200000 has 96 divisors (see below), whose sum is σ = 533877611950620. Its totient is φ = 85760888320000.

The previous prime is 214402221199997. The next prime is 214402221200029. The reversal of 214402221200000 is 2122204412.

214402221200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 97798333604416 + 116603887595584 = 9889304^2 + 10798328^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267602777 + ... + 268402776.

Almost surely, 2^{214402221200000} is an apocalyptic number.

214402221200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214402221200000 is an abundant number, since it is smaller than the sum of its proper divisors (319475390750620).

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

214402221200000 is an frugal number, since it uses more digits than its factorization.

214402221200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536005592 (or 536005560 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 214402221200000 its reverse (2122204412), we get a palindrome (214404343404412).

The spelling of 214402221200000 in words is "two hundred fourteen trillion, four hundred two billion, two hundred twenty-one million, two hundred thousand".