201442120000 has 280 divisors, whose sum is σ = 563747168160. Its totient is φ = 70721280000.

The previous prime is 201442119961. The next prime is 201442120049. The reversal of 201442120000 is 21244102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12752107 + ... + 12767893.

Almost surely, 2^201442120000 is an apocalyptic number.

201442120000 is a gapful number since it is divisible by the number (20) 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 201442120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281873584080).

201442120000 is an abundant number, since it is smaller than the sum of its proper divisors (362305048160).

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

201442120000 is a wasteful number, since it uses less digits than its factorization.

201442120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15859 (or 15834 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 201442120000 its reverse (21244102), we get a palindrome (201463364102).

The spelling of 201442120000 in words is "two hundred one billion, four hundred forty-two million, one hundred twenty thousand".