10212012000 has 288 divisors, whose sum is σ = 36394341984. Its totient is φ = 2711808000.

The previous prime is 10212011977. The next prime is 10212012007. The reversal of 10212012000 is 21021201.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212012007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11915572 + ... + 11916428.

It is an arithmetic number, because the mean of its divisors is an integer number (126369243).

Almost surely, 2^10212012000 is an apocalyptic number.

10212012000 is a gapful number since it is divisible by the number (10) 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 10212012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18197170992).

10212012000 is an abundant number, since it is smaller than the sum of its proper divisors (26182329984).

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

10212012000 is a wasteful number, since it uses less digits than its factorization.

10212012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10212012000 its reverse (21021201), we get a palindrome (10233033201).

It can be divided in two parts, 1021201 and 2000, that added together give a palindrome (1023201).

The spelling of 10212012000 in words is "ten billion, two hundred twelve million, twelve thousand".