1012121367400 has 432 divisors, whose sum is σ = 2821804041420. Its totient is φ = 335360256000.

The previous prime is 1012121367371. The next prime is 1012121367401. The reversal of 1012121367400 is 47631212101.

It can be written as a sum of positive squares in 6 ways, for example, as 265767056676 + 746354310724 = 515526^2 + 863918^2 .

It is not an unprimeable number, because it can be changed into a prime (1012121367401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3601855260 + ... + 3601855540.

Almost surely, 2^{1012121367400} is an apocalyptic number.

1012121367400 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 1012121367400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410902020710).

1012121367400 is an abundant number, since it is smaller than the sum of its proper divisors (1809682674020).

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

1012121367400 is a wasteful number, since it uses less digits than its factorization.

1012121367400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

Adding to 1012121367400 its reverse (47631212101), we get a palindrome (1059752579501).

The spelling of 1012121367400 in words is "one trillion, twelve billion, one hundred twenty-one million, three hundred sixty-seven thousand, four hundred".