3301142200000 has 168 divisors, whose sum is σ = 8193964021488. Its totient is φ = 1319472000000.

The previous prime is 3301142199967. The next prime is 3301142200003. The reversal of 3301142200000 is 22411033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3301142200003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306194610 + ... + 306205390.

It is an arithmetic number, because the mean of its divisors is an integer number (48773595366).

Almost surely, 2^{3301142200000} 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 3301142200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096982010744).

3301142200000 is an abundant number, since it is smaller than the sum of its proper divisors (4892821821488).

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

3301142200000 is an equidigital number, since it uses as much as digits as its factorization.

3301142200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12349 (or 12319 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 3301142200000 its reverse (22411033), we get a palindrome (3301164611033).

The spelling of 3301142200000 in words is "three trillion, three hundred one billion, one hundred forty-two million, two hundred thousand".