4120120022200 has 192 divisors, whose sum is σ = 11900073346560. Its totient is φ = 1291763013120.

The previous prime is 4120120022167. The next prime is 4120120022201. The reversal of 4120120022200 is 22200210214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120120022201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 889549 + ... + 3005251.

It is an arithmetic number, because the mean of its divisors is an integer number (61979548680).

Almost surely, 2^{4120120022200} is an apocalyptic number.

4120120022200 is a gapful number since it is divisible by the number (40) 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 4120120022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5950036673280).

4120120022200 is an abundant number, since it is smaller than the sum of its proper divisors (7779953324360).

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

4120120022200 is a wasteful number, since it uses less digits than its factorization.

4120120022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115846 (or 2115837 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 4120120022200 its reverse (22200210214), we get a palindrome (4142320232414).

The spelling of 4120120022200 in words is "four trillion, one hundred twenty billion, one hundred twenty million, twenty-two thousand, two hundred".