1012141200400 has 240 divisors, whose sum is σ = 2706071443200. Its totient is φ = 360689472000.

The previous prime is 1012141200383. The next prime is 1012141200401. The reversal of 1012141200400 is 40021412101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1012141200401) 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, 85921711 + ... + 85933489.

It is an arithmetic number, because the mean of its divisors is an integer number (11275297680).

Almost surely, 2^{1012141200400} is an apocalyptic number.

1012141200400 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 1012141200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353035721600).

1012141200400 is an abundant number, since it is smaller than the sum of its proper divisors (1693930242800).

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

1012141200400 is a wasteful number, since it uses less digits than its factorization.

1012141200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12198 (or 12187 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1012141200400 its reverse (40021412101), we get a palindrome (1052162612501).

The spelling of 1012141200400 in words is "one trillion, twelve billion, one hundred forty-one million, two hundred thousand, four hundred".