1212142013120 has 224 divisors, whose sum is σ = 3136670562816. Its totient is φ = 444476211200.

The previous prime is 1212142013119. The next prime is 1212142013209. The reversal of 1212142013120 is 213102412121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1212142013092 and 1212142013101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32039015 + ... + 32076825.

It is an arithmetic number, because the mean of its divisors is an integer number (14002993584).

Almost surely, 2^{1212142013120} is an apocalyptic number.

1212142013120 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 1212142013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568335281408).

1212142013120 is an abundant number, since it is smaller than the sum of its proper divisors (1924528549696).

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

1212142013120 is a wasteful number, since it uses less digits than its factorization.

1212142013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37999 (or 37989 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1212142013120 its reverse (213102412121), we get a palindrome (1425244425241).

The spelling of 1212142013120 in words is "one trillion, two hundred twelve billion, one hundred forty-two million, thirteen thousand, one hundred twenty".