34002121200420 has 48 divisors (see below), whose sum is σ = 97779072863808. Its totient is φ = 8822171986560.

The previous prime is 34002121200413. The next prime is 34002121200461. The reversal of 34002121200420 is 2400212120043.

It is a super-2 number, since 2×34002121200420² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7658133186 + ... + 7658137625.

It is an arithmetic number, because the mean of its divisors is an integer number (2037064017996).

Almost surely, 2^{34002121200420} is an apocalyptic number.

34002121200420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34002121200420 is an abundant number, since it is smaller than the sum of its proper divisors (63776951663388).

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

34002121200420 is a wasteful number, since it uses less digits than its factorization.

34002121200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15316270860 (or 15316270858 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 34002121200420 its reverse (2400212120043), we get a palindrome (36402333320463).

The spelling of 34002121200420 in words is "thirty-four trillion, two billion, one hundred twenty-one million, two hundred thousand, four hundred twenty".