34212211434100 has 72 divisors (see below), whose sum is σ = 84870346700160. Its totient is φ = 11726574472320.

The previous prime is 34212211434097. The next prime is 34212211434101. The reversal of 34212211434100 is 143411221243.

It is a happy number.

It is a super-2 number, since 2×34212211434100² (a number of 28 digits) contains 22 as substring.

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 (34212211434101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4459735 + ... + 9397534.

It is an arithmetic number, because the mean of its divisors is an integer number (1178754815280).

Almost surely, 2^{34212211434100} is an apocalyptic number.

It is an amenable number.

34212211434100 is an abundant number, since it is smaller than the sum of its proper divisors (50658135266060).

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

34212211434100 is a wasteful number, since it uses less digits than its factorization.

34212211434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13860817 (or 13860810 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 34212211434100 its reverse (143411221243), we get a palindrome (34355622655343).

The spelling of 34212211434100 in words is "thirty-four trillion, two hundred twelve billion, two hundred eleven million, four hundred thirty-four thousand, one hundred".