2002121253000 has 512 divisors, whose sum is σ = 7667592192000. Its totient is φ = 479213280000.

The previous prime is 2002121252969. The next prime is 2002121253001. The reversal of 2002121253000 is 3521212002.

2002121253000 is a `hidden beast` number, since 200 + 212 + 1 + 253 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2002121253001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23420335 + ... + 23505665.

It is an arithmetic number, because the mean of its divisors is an integer number (14975766000).

Almost surely, 2^{2002121253000} is an apocalyptic number.

2002121253000 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 2002121253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833796096000).

2002121253000 is an abundant number, since it is smaller than the sum of its proper divisors (5665470939000).

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

2002121253000 is a wasteful number, since it uses less digits than its factorization.

2002121253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85451 (or 85431 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 2002121253000 its reverse (3521212002), we get a palindrome (2005642465002).

The spelling of 2002121253000 in words is "two trillion, two billion, one hundred twenty-one million, two hundred fifty-three thousand".