1921130246112 has 576 divisors, whose sum is σ = 6863815107072. Its totient is φ = 458706124800.

The previous prime is 1921130246089. The next prime is 1921130246117. The reversal of 1921130246112 is 2116420311291.

It is a super-2 number, since 2×1921130246112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1921130246117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59422912 + ... + 59455232.

It is an arithmetic number, because the mean of its divisors is an integer number (11916345672).

Almost surely, 2^{1921130246112} is an apocalyptic number.

1921130246112 is a gapful number since it is divisible by the number (12) 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 1921130246112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431907553536).

1921130246112 is an abundant number, since it is smaller than the sum of its proper divisors (4942684860960).

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

1921130246112 is a wasteful number, since it uses less digits than its factorization.

1921130246112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32423 (or 32404 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 1921130246112 in words is "one trillion, nine hundred twenty-one billion, one hundred thirty million, two hundred forty-six thousand, one hundred twelve".