34212101220 has 168 divisors, whose sum is σ = 117512015040. Its totient is φ = 8293803840.

The previous prime is 34212101201. The next prime is 34212101237. The reversal of 34212101220 is 2210121243.

It is a happy number.

34212101220 is a `hidden beast` number, since 3 + 421 + 21 + 0 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34212101193 and 34212101202.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 53721 + ... + 267039.

It is an arithmetic number, because the mean of its divisors is an integer number (699476280).

Almost surely, 2^34212101220 is an apocalyptic number.

34212101220 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 34212101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58756007520).

34212101220 is an abundant number, since it is smaller than the sum of its proper divisors (83299913820).

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

34212101220 is a wasteful number, since it uses less digits than its factorization.

34212101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213357 (or 213340 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 34212101220 its reverse (2210121243), we get a palindrome (36422222463).

The spelling of 34212101220 in words is "thirty-four billion, two hundred twelve million, one hundred one thousand, two hundred twenty".