20121038212800 has 1008 divisors, whose sum is σ = 82061981387520. Its totient is φ = 4216358707200.

The previous prime is 20121038212741. The next prime is 20121038212813. The reversal of 20121038212800 is 821283012102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 613486002 + ... + 613518798.

Almost surely, 2^{20121038212800} is an apocalyptic number.

20121038212800 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 20121038212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41030990693760).

20121038212800 is an abundant number, since it is smaller than the sum of its proper divisors (61940943174720).

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

20121038212800 is a wasteful number, since it uses less digits than its factorization.

20121038212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32910 (or 32864 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 20121038212800 in words is "twenty trillion, one hundred twenty-one billion, thirty-eight million, two hundred twelve thousand, eight hundred".