214202020202412 has 432 divisors, whose sum is σ = 603746889006240. Its totient is φ = 59010856960000.

The previous prime is 214202020202383. The next prime is 214202020202419.

214202020202412 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (214202020202419) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1737617914 + ... + 1737741182.

It is an arithmetic number, because the mean of its divisors is an integer number (1397562243070).

Almost surely, 2^{214202020202412} is an apocalyptic number.

214202020202412 is a gapful number since it is divisible by the number (22) 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 214202020202412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301873444503120).

214202020202412 is an abundant number, since it is smaller than the sum of its proper divisors (389544868803828).

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

214202020202412 is a wasteful number, since it uses less digits than its factorization.

214202020202412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123474 (or 123444 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 214202020202412 in words is "two hundred fourteen trillion, two hundred two billion, twenty million, two hundred two thousand, four hundred twelve".