3400121142220 has 96 divisors (see below), whose sum is σ = 7860588261120. Its totient is φ = 1225151842560.

The previous prime is 3400121142211. The next prime is 3400121142227. The reversal of 3400121142220 is 222411210043.

3400121142220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3400121142191 and 3400121142200.

It is not an unprimeable number, because it can be changed into a prime (3400121142227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10991994 + ... + 11297086.

It is an arithmetic number, because the mean of its divisors is an integer number (81881127720).

Almost surely, 2^{3400121142220} 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 3400121142220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930294130560).

3400121142220 is an abundant number, since it is smaller than the sum of its proper divisors (4460467118900).

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

3400121142220 is a wasteful number, since it uses less digits than its factorization.

3400121142220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305575 (or 305573 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 3400121142220 its reverse (222411210043), we get a palindrome (3622532352263).

The spelling of 3400121142220 in words is "three trillion, four hundred billion, one hundred twenty-one million, one hundred forty-two thousand, two hundred twenty".