1012434500000 has 336 divisors, whose sum is σ = 3106411487424. Its totient is φ = 315552000000.

The previous prime is 1012434499991. The next prime is 1012434500009. The reversal of 1012434500000 is 54342101.

It is an interprime number because it is at equal distance from previous prime (1012434499991) and next prime (1012434500009).

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

It is not an unprimeable number, because it can be changed into a prime (1012434500009) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 38486852 + ... + 38513148.

It is an arithmetic number, because the mean of its divisors is an integer number (9245272284).

Almost surely, 2^{1012434500000} is an apocalyptic number.

1012434500000 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 1012434500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553205743712).

1012434500000 is an abundant number, since it is smaller than the sum of its proper divisors (2093976987424).

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

1012434500000 is an frugal number, since it uses more digits than its factorization.

1012434500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26355 (or 26322 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 1012434500000 its reverse (54342101), we get a palindrome (1012488842101).

The spelling of 1012434500000 in words is "one trillion, twelve billion, four hundred thirty-four million, five hundred thousand".