1001212123200 has 336 divisors, whose sum is σ = 3402003400704. Its totient is φ = 257624729600.

The previous prime is 1001212123189. The next prime is 1001212123213. The reversal of 1001212123200 is 23212121001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1001212123200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15986347 + ... + 16048853.

Almost surely, 2^{1001212123200} is an apocalyptic number.

1001212123200 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 1001212123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701001700352).

1001212123200 is an abundant number, since it is smaller than the sum of its proper divisors (2400791277504).

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

1001212123200 is a wasteful number, since it uses less digits than its factorization.

1001212123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62650 (or 62635 counting only the distinct ones).

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

Adding to 1001212123200 its reverse (23212121001), we get a palindrome (1024424244201).

The spelling of 1001212123200 in words is "one trillion, one billion, two hundred twelve million, one hundred twenty-three thousand, two hundred".