1142213013144 has 480 divisors, whose sum is σ = 3964825972800. Its totient is φ = 305432104320.

The previous prime is 1142213013143. The next prime is 1142213013187. The reversal of 1142213013144 is 4413103122411.

It is a happy number.

1142213013144 is a `hidden beast` number, since 1 + 1 + 42 + 2 + 1 + 301 + 314 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142213013143) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 50061499 + ... + 50084309.

It is an arithmetic number, because the mean of its divisors is an integer number (8260054110).

Almost surely, 2^{1142213013144} is an apocalyptic number.

1142213013144 is a gapful number since it is divisible by the number (14) 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 1142213013144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982412986400).

1142213013144 is an abundant number, since it is smaller than the sum of its proper divisors (2822612959656).

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

1142213013144 is a wasteful number, since it uses less digits than its factorization.

1142213013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22945 (or 22925 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1142213013144 its reverse (4413103122411), we get a palindrome (5555316135555).

The spelling of 1142213013144 in words is "one trillion, one hundred forty-two billion, two hundred thirteen million, thirteen thousand, one hundred forty-four".