20112478290000 has 600 divisors, whose sum is σ = 71937378070272. Its totient is φ = 5241571200000.

The previous prime is 20112478289987. The next prime is 20112478290007. The reversal of 20112478290000 is 9287421102.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112478290007) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 3269786925 + ... + 3269793075.

Almost surely, 2^{20112478290000} is an apocalyptic number.

20112478290000 is a gapful number since it is divisible by the number (20) 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 20112478290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35968689035136).

20112478290000 is an abundant number, since it is smaller than the sum of its proper divisors (51824899780272).

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

20112478290000 is a wasteful number, since it uses less digits than its factorization.

20112478290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7005 (or 6981 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 20112478290000 in words is "twenty trillion, one hundred twelve billion, four hundred seventy-eight million, two hundred ninety thousand".