1213126413000 has 128 divisors (see below), whose sum is σ = 3786375939840. Its totient is φ = 323378880000.

The previous prime is 1213126412999. The next prime is 1213126413011. The reversal of 1213126413000 is 3146213121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8058420 + ... + 8207580.

It is an arithmetic number, because the mean of its divisors is an integer number (29581062030).

Almost surely, 2^{1213126413000} is an apocalyptic number.

1213126413000 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 1213126413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893187969920).

1213126413000 is an abundant number, since it is smaller than the sum of its proper divisors (2573249526840).

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

1213126413000 is a wasteful number, since it uses less digits than its factorization.

1213126413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151896 (or 151882 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 1213126413000 in words is "one trillion, two hundred thirteen billion, one hundred twenty-six million, four hundred thirteen thousand".