3311412120420 has 384 divisors, whose sum is σ = 10230545203200. Its totient is φ = 796660531200.

The previous prime is 3311412120383. The next prime is 3311412120469. The reversal of 3311412120420 is 240212141133.

3311412120420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3311412120420³ (a number of 39 digits) contains 333 as substring.

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, 3564490516 + ... + 3564491444.

It is an arithmetic number, because the mean of its divisors is an integer number (26642044800).

Almost surely, 2^{3311412120420} is an apocalyptic number.

3311412120420 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 3311412120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115272601600).

3311412120420 is an abundant number, since it is smaller than the sum of its proper divisors (6919133082780).

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

3311412120420 is a wasteful number, since it uses less digits than its factorization.

3311412120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 3311412120420 its reverse (240212141133), we get a palindrome (3551624261553).

The spelling of 3311412120420 in words is "three trillion, three hundred eleven billion, four hundred twelve million, one hundred twenty thousand, four hundred twenty".