10302112212000 has 576 divisors, whose sum is σ = 39812995272960. Its totient is φ = 2321593344000.

The previous prime is 10302112211977. The next prime is 10302112212043. The reversal of 10302112212000 is 21221120301.

It is a super-2 number, since 2×10302112212000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41624616 + ... + 41871384.

It is an arithmetic number, because the mean of its divisors is an integer number (69119783460).

Almost surely, 2^{10302112212000} is an apocalyptic number.

10302112212000 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 10302112212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19906497636480).

10302112212000 is an abundant number, since it is smaller than the sum of its proper divisors (29510883060960).

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

10302112212000 is a wasteful number, since it uses less digits than its factorization.

10302112212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246882 (or 246857 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10302112212000 its reverse (21221120301), we get a palindrome (10323333332301).

The spelling of 10302112212000 in words is "ten trillion, three hundred two billion, one hundred twelve million, two hundred twelve thousand".