20142122000 has 320 divisors, whose sum is σ = 65398814208. Its totient is φ = 5794560000.

The previous prime is 20142121997. The next prime is 20142122009. The reversal of 20142122000 is 22124102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (20142122009) 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, 1996970 + ... + 2007030.

Almost surely, 2^20142122000 is an apocalyptic number.

20142122000 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 20142122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32699407104).

20142122000 is an abundant number, since it is smaller than the sum of its proper divisors (45256692208).

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

20142122000 is a wasteful number, since it uses less digits than its factorization.

20142122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10115 (or 10099 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20142122000 its reverse (22124102), we get a palindrome (20164246102).

The spelling of 20142122000 in words is "twenty billion, one hundred forty-two million, one hundred twenty-two thousand".