19812741312000 has 640 divisors, whose sum is σ = 81073808944128. Its totient is φ = 4180267008000.

The previous prime is 19812741311941. The next prime is 19812741312029. The reversal of 19812741312000 is 21314721891.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×19812741312000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 19812741312000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16905015 + ... + 18038985.

Almost surely, 2^{19812741312000} is an apocalyptic number.

19812741312000 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 19812741312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40536904472064).

19812741312000 is an abundant number, since it is smaller than the sum of its proper divisors (61261067632128).

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

19812741312000 is a wasteful number, since it uses less digits than its factorization.

19812741312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134027 (or 1134001 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 19812741312000 in words is "nineteen trillion, eight hundred twelve billion, seven hundred forty-one million, three hundred twelve thousand".