1242133211120 has 80 divisors (see below), whose sum is σ = 2931063620160. Its totient is φ = 489454036992.

The previous prime is 1242133211119. The next prime is 1242133211131. The reversal of 1242133211120 is 211123312421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4713077 + ... + 4969643.

It is an arithmetic number, because the mean of its divisors is an integer number (36638295252).

Almost surely, 2^{1242133211120} is an apocalyptic number.

1242133211120 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 1242133211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465531810080).

1242133211120 is an abundant number, since it is smaller than the sum of its proper divisors (1688930409040).

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

1242133211120 is a wasteful number, since it uses less digits than its factorization.

1242133211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257482 (or 257476 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 1242133211120 its reverse (211123312421), we get a palindrome (1453256523541).

It can be divided in two parts, 124213 and 3211120, that added together give a palindrome (3335333).

The spelling of 1242133211120 in words is "one trillion, two hundred forty-two billion, one hundred thirty-three million, two hundred eleven thousand, one hundred twenty".