2142770112000 has 1200 divisors, whose sum is σ = 9159652842912. Its totient is φ = 489776025600.

The previous prime is 2142770111983. The next prime is 2142770112059. The reversal of 2142770112000 is 2110772412.

It is a happy number.

2142770112000 is a `hidden beast` number, since 21 + 427 + 7 + 0 + 11 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 306110015997 + ... + 306110016003.

Almost surely, 2^{2142770112000} is an apocalyptic number.

2142770112000 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 2142770112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579826421456).

2142770112000 is an abundant number, since it is smaller than the sum of its proper divisors (7016882730912).

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

2142770112000 is an frugal number, since it uses more digits than its factorization.

2142770112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 2142770112000 its reverse (2110772412), we get a palindrome (2144880884412).

The spelling of 2142770112000 in words is "two trillion, one hundred forty-two billion, seven hundred seventy million, one hundred twelve thousand".