1024012200420 has 144 divisors (see below), whose sum is σ = 3390008626368. Its totient is φ = 248138484480.

The previous prime is 1024012200403. The next prime is 1024012200443. The reversal of 1024012200420 is 240022104201.

1024012200420 is a `hidden beast` number, since 1 + 0 + 2 + 40 + 1 + 2 + 200 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1024012200393 and 1024012200402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4536882 + ... + 4757238.

It is an arithmetic number, because the mean of its divisors is an integer number (23541726572).

Almost surely, 2^{1024012200420} is an apocalyptic number.

1024012200420 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 1024012200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695004313184).

1024012200420 is an abundant number, since it is smaller than the sum of its proper divisors (2365996425948).

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

1024012200420 is a wasteful number, since it uses less digits than its factorization.

1024012200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222730 (or 222725 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1024012200420 its reverse (240022104201), we get a palindrome (1264034304621).

The spelling of 1024012200420 in words is "one trillion, twenty-four billion, twelve million, two hundred thousand, four hundred twenty".