334212242100 has 576 divisors, whose sum is σ = 1122514654464. Its totient is φ = 76032000000.

The previous prime is 334212242099. The next prime is 334212242113. The reversal of 334212242100 is 1242212433.

It is a happy number.

It is a super-2 number, since 2×334212242100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 505615770 + ... + 505616430.

It is an arithmetic number, because the mean of its divisors is an integer number (1948810164).

Almost surely, 2^334212242100 is an apocalyptic number.

334212242100 is a gapful number since it is divisible by the number (30) 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 334212242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561257327232).

334212242100 is an abundant number, since it is smaller than the sum of its proper divisors (788302412364).

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

334212242100 is a wasteful number, since it uses less digits than its factorization.

334212242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 334212242100 its reverse (1242212433), we get a palindrome (335454454533).

The spelling of 334212242100 in words is "three hundred thirty-four billion, two hundred twelve million, two hundred forty-two thousand, one hundred".