20120202000 has 240 divisors, whose sum is σ = 73973003520. Its totient is φ = 5082912000.

The previous prime is 20120201999. The next prime is 20120202031. The reversal of 20120202000 is 20202102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×20120202000³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312585 + ... + 371415.

It is an arithmetic number, because the mean of its divisors is an integer number (308220848).

Almost surely, 2^20120202000 is an apocalyptic number.

20120202000 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 20120202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36986501760).

20120202000 is an abundant number, since it is smaller than the sum of its proper divisors (53852801520).

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

20120202000 is a wasteful number, since it uses less digits than its factorization.

20120202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58879 (or 58860 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20120202000 its reverse (20202102), we get a palindrome (20140404102).

The spelling of 20120202000 in words is "twenty billion, one hundred twenty million, two hundred two thousand".