10215124400000 has 192 divisors, whose sum is σ = 27393087980160. Its totient is φ = 3771736320000.

The previous prime is 10215124399993. The next prime is 10215124400003. The reversal of 10215124400000 is 442151201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10215124400003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4217777 + ... + 6182223.

It is an arithmetic number, because the mean of its divisors is an integer number (142672333230).

Almost surely, 2^{10215124400000} is an apocalyptic number.

10215124400000 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 10215124400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13696543990080).

10215124400000 is an abundant number, since it is smaller than the sum of its proper divisors (17177963580160).

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

10215124400000 is an frugal number, since it uses more digits than its factorization.

10215124400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964499 (or 1964467 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 10215124400000 its reverse (442151201), we get a palindrome (10215566551201).

The spelling of 10215124400000 in words is "ten trillion, two hundred fifteen billion, one hundred twenty-four million, four hundred thousand".