1124001142000 has 320 divisors, whose sum is σ = 3080178855936. Its totient is φ = 393120000000.

The previous prime is 1124001141931. The next prime is 1124001142007. The reversal of 1124001142000 is 2411004211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124001142007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64033225 + ... + 64050775.

Almost surely, 2^{1124001142000} is an apocalyptic number.

1124001142000 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 1124001142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540089427968).

1124001142000 is an abundant number, since it is smaller than the sum of its proper divisors (1956177713936).

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

1124001142000 is a wasteful number, since it uses less digits than its factorization.

1124001142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17697 (or 17681 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1124001142000 its reverse (2411004211), we get a palindrome (1126412146211).

It can be divided in two parts, 112400 and 1142000, that added together give a square (1254400 = 1120²).

The spelling of 1124001142000 in words is "one trillion, one hundred twenty-four billion, one million, one hundred forty-two thousand".