1141342022112 has 96 divisors (see below), whose sum is σ = 3022638796800. Its totient is φ = 377073543168.

The previous prime is 1141342022111. The next prime is 1141342022143. The reversal of 1141342022112 is 2112202431411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1141342022112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141342022111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12255339 + ... + 12348117.

It is an arithmetic number, because the mean of its divisors is an integer number (31485820800).

Almost surely, 2^{1141342022112} is an apocalyptic number.

1141342022112 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 1141342022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511319398400).

1141342022112 is an abundant number, since it is smaller than the sum of its proper divisors (1881296774688).

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

1141342022112 is a wasteful number, since it uses less digits than its factorization.

1141342022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93928 (or 93920 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1141342022112 its reverse (2112202431411), we get a palindrome (3253544453523).

The spelling of 1141342022112 in words is "one trillion, one hundred forty-one billion, three hundred forty-two million, twenty-two thousand, one hundred twelve".