1210104400120 has 128 divisors (see below), whose sum is σ = 3395095119360. Its totient is φ = 377118005760.

The previous prime is 1210104400067. The next prime is 1210104400123. The reversal of 1210104400120 is 210044010121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1210104400094 and 1210104400103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210104400123) 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, 23126227 + ... + 23178493.

It is an arithmetic number, because the mean of its divisors is an integer number (26524180620).

Almost surely, 2^{1210104400120} is an apocalyptic number.

1210104400120 is a gapful number since it is divisible by the number (10) 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 1210104400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697547559680).

1210104400120 is an abundant number, since it is smaller than the sum of its proper divisors (2184990719240).

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

1210104400120 is a wasteful number, since it uses less digits than its factorization.

1210104400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59813 (or 59809 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1210104400120 its reverse (210044010121), we get a palindrome (1420148410241).

The spelling of 1210104400120 in words is "one trillion, two hundred ten billion, one hundred four million, four hundred thousand, one hundred twenty".