20419123200 has 432 divisors, whose sum is σ = 78552550440. Its totient is φ = 4665507840.

The previous prime is 20419123199. The next prime is 20419123201. The reversal of 20419123200 is 232191402.

It is an interprime number because it is at equal distance from previous prime (20419123199) and next prime (20419123201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20419123201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7525044 + ... + 7527756.

Almost surely, 2^20419123200 is an apocalyptic number.

20419123200 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 20419123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39276275220).

20419123200 is an abundant number, since it is smaller than the sum of its proper divisors (58133427240).

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

20419123200 is a wasteful number, since it uses less digits than its factorization.

20419123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2730 counting only the distinct ones).

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

The spelling of 20419123200 in words is "twenty billion, four hundred nineteen million, one hundred twenty-three thousand, two hundred".