34001230112300 has 288 divisors, whose sum is σ = 81269715072000. Its totient is φ = 12245196902400.

The previous prime is 34001230112281. The next prime is 34001230112327. The reversal of 34001230112300 is 321103210043.

It is a super-2 number, since 2×34001230112300² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68138737451 + ... + 68138737949.

Almost surely, 2^{34001230112300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34001230112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40634857536000).

34001230112300 is an abundant number, since it is smaller than the sum of its proper divisors (47268484959700).

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

34001230112300 is a wasteful number, since it uses less digits than its factorization.

34001230112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 34001230112300 its reverse (321103210043), we get a palindrome (34322333322343).

The spelling of 34001230112300 in words is "thirty-four trillion, one billion, two hundred thirty million, one hundred twelve thousand, three hundred".