34410112001220 has 384 divisors, whose sum is σ = 111340130549760. Its totient is φ = 7893052231680.

The previous prime is 34410112001219. The next prime is 34410112001269. The reversal of 34410112001220 is 2210021101443.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39343189 + ... + 40208291.

It is an arithmetic number, because the mean of its divisors is an integer number (289948256640).

Almost surely, 2^{34410112001220} is an apocalyptic number.

34410112001220 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 34410112001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55670065274880).

34410112001220 is an abundant number, since it is smaller than the sum of its proper divisors (76930018548540).

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

34410112001220 is a wasteful number, since it uses less digits than its factorization.

34410112001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865235 (or 865233 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 34410112001220 its reverse (2210021101443), we get a palindrome (36620133102663).

The spelling of 34410112001220 in words is "thirty-four trillion, four hundred ten billion, one hundred twelve million, one thousand, two hundred twenty".