4212513100000 has 288 divisors, whose sum is σ = 10484399268000. Its totient is φ = 1665888000000.

The previous prime is 4212513099989. The next prime is 4212513100001. The reversal of 4212513100000 is 13152124.

It is a super-2 number, since 2×4212513100000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212513100001) 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, 4008099475 + ... + 4008100525.

It is an arithmetic number, because the mean of its divisors is an integer number (36404164125).

Almost surely, 2^{4212513100000} is an apocalyptic number.

4212513100000 is a gapful number since it is divisible by the number (40) 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 4212513100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242199634000).

4212513100000 is an abundant number, since it is smaller than the sum of its proper divisors (6271886168000).

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

4212513100000 is a wasteful number, since it uses less digits than its factorization.

4212513100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 4212513100000 its reverse (13152124), we get a palindrome (4212526252124).

The spelling of 4212513100000 in words is "four trillion, two hundred twelve billion, five hundred thirteen million, one hundred thousand".