214412222010000 has 800 divisors, whose sum is σ = 842020307251200. Its totient is φ = 45907361280000.

The previous prime is 214412222009989. The next prime is 214412222010109. The reversal of 214412222010000 is 10222214412.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 159 ways as a sum of consecutive naturals, for example, 354808105 + ... + 355411895.

It is an arithmetic number, because the mean of its divisors is an integer number (1052525384064).

Almost surely, 2^{214412222010000} is an apocalyptic number.

214412222010000 is a gapful number since it is divisible by the number (20) 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 214412222010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421010153625600).

214412222010000 is an abundant number, since it is smaller than the sum of its proper divisors (627608085241200).

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

214412222010000 is a wasteful number, since it uses less digits than its factorization.

214412222010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603937 (or 603916 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 214412222010000 its reverse (10222214412), we get a palindrome (214422444224412).

The spelling of 214412222010000 in words is "two hundred fourteen trillion, four hundred twelve billion, two hundred twenty-two million, ten thousand".