254212443112420 has 192 divisors, whose sum is σ = 609655713730560. Its totient is φ = 88207392079872.

The previous prime is 254212443112391. The next prime is 254212443112423. The reversal of 254212443112420 is 24211344212452.

It is a self number, because there is not a number n which added to its sum of digits gives 254212443112420.

It is not an unprimeable number, because it can be changed into a prime (254212443112423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8049011949 + ... + 8049043531.

It is an arithmetic number, because the mean of its divisors is an integer number (3175290175680).

Almost surely, 2^{254212443112420} is an apocalyptic number.

254212443112420 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 254212443112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304827856865280).

254212443112420 is an abundant number, since it is smaller than the sum of its proper divisors (355443270618140).

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

254212443112420 is a wasteful number, since it uses less digits than its factorization.

254212443112420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34334 (or 34332 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

Adding to 254212443112420 its reverse (24211344212452), we get a palindrome (278423787324872).

The spelling of 254212443112420 in words is "two hundred fifty-four trillion, two hundred twelve billion, four hundred forty-three million, one hundred twelve thousand, four hundred twenty".