34121620211250 has 480 divisors, whose sum is σ = 101683483469568. Its totient is φ = 7579693440000.

The previous prime is 34121620211249. The next prime is 34121620211279. The reversal of 34121620211250 is 5211202612143.

It is a super-3 number, since 3×34121620211250³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 808107639 + ... + 808149861.

Almost surely, 2^{34121620211250} is an apocalyptic number.

34121620211250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34121620211250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50841741734784).

34121620211250 is an abundant number, since it is smaller than the sum of its proper divisors (67561863258318).

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

34121620211250 is a wasteful number, since it uses less digits than its factorization.

34121620211250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42420 (or 42394 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 34121620211250 its reverse (5211202612143), we get a palindrome (39332822823393).

The spelling of 34121620211250 in words is "thirty-four trillion, one hundred twenty-one billion, six hundred twenty million, two hundred eleven thousand, two hundred fifty".