214212222212412 has 192 divisors, whose sum is σ = 512761031798400. Its totient is φ = 69588133171200.

The previous prime is 214212222212393. The next prime is 214212222212413.

214212222212412 is nontrivially palindromic in base 10.

214212222212412 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214212222212412² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 214212222212412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214212222212413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36498927414 + ... + 36498933282.

It is an arithmetic number, because the mean of its divisors is an integer number (2670630373950).

Almost surely, 2^{214212222212412} is an apocalyptic number.

It is an amenable number.

214212222212412 is an abundant number, since it is smaller than the sum of its proper divisors (298548809585988).

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

214212222212412 is a wasteful number, since it uses less digits than its factorization.

214212222212412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7856 (or 7854 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The spelling of 214212222212412 in words is "two hundred fourteen trillion, two hundred twelve billion, two hundred twenty-two million, two hundred twelve thousand, four hundred twelve".