2122340432212 has 288 divisors, whose sum is σ = 5327937167616. Its totient is φ = 717322383360.

The previous prime is 2122340432203. The next prime is 2122340432213.

2122340432212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122340432213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 638680383 + ... + 638683705.

It is an arithmetic number, because the mean of its divisors is an integer number (18499781832).

Almost surely, 2^{2122340432212} is an apocalyptic number.

2122340432212 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 2122340432212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663968583808).

2122340432212 is an abundant number, since it is smaller than the sum of its proper divisors (3205596735404).

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

2122340432212 is a wasteful number, since it uses less digits than its factorization.

2122340432212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4239 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 2122340 and 432212, that added together give a palindrome (2554552).

The spelling of 2122340432212 in words is "two trillion, one hundred twenty-two billion, three hundred forty million, four hundred thirty-two thousand, two hundred twelve".