1020144021200 has 120 divisors (see below), whose sum is σ = 2504113833600. Its totient is φ = 399240225280.

The previous prime is 1020144021139. The next prime is 1020144021223. The reversal of 1020144021200 is 21204410201.

1020144021200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7543781 + ... + 7677819.

It is an arithmetic number, because the mean of its divisors is an integer number (20867615280).

Almost surely, 2^{1020144021200} is an apocalyptic number.

1020144021200 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 1020144021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252056916800).

1020144021200 is an abundant number, since it is smaller than the sum of its proper divisors (1483969812400).

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

1020144021200 is a wasteful number, since it uses less digits than its factorization.

1020144021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134469 (or 134458 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1020144021200 its reverse (21204410201), we get a palindrome (1041348431401).

It can be divided in two parts, 102014 and 4021200, that added together give a palindrome (4123214).

The spelling of 1020144021200 in words is "one trillion, twenty billion, one hundred forty-four million, twenty-one thousand, two hundred".