3542202120120 has 512 divisors, whose sum is σ = 11311668264960. Its totient is φ = 886152960000.

The previous prime is 3542202120109. The next prime is 3542202120131. The reversal of 3542202120120 is 210212022453.

It is an interprime number because it is at equal distance from previous prime (3542202120109) and next prime (3542202120131).

It is a super-3 number, since 3×3542202120120³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 5613632205 + ... + 5613632835.

It is an arithmetic number, because the mean of its divisors is an integer number (22093102080).

Almost surely, 2^{3542202120120} is an apocalyptic number.

3542202120120 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 3542202120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655834132480).

3542202120120 is an abundant number, since it is smaller than the sum of its proper divisors (7769466144840).

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

3542202120120 is a wasteful number, since it uses less digits than its factorization.

3542202120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 3542202120120 its reverse (210212022453), we get a palindrome (3752414142573).

The spelling of 3542202120120 in words is "three trillion, five hundred forty-two billion, two hundred two million, one hundred twenty thousand, one hundred twenty".