254121012312240 has 160 divisors (see below), whose sum is σ = 789085271310336. Its totient is φ = 67652934497280.

The previous prime is 254121012312217. The next prime is 254121012312253. The reversal of 254121012312240 is 42213210121452.

254121012312240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 254121012312198 and 254121012312207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1088629617 + ... + 1088863023.

Almost surely, 2^{254121012312240} is an apocalyptic number.

254121012312240 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 254121012312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394542635655168).

254121012312240 is an abundant number, since it is smaller than the sum of its proper divisors (534964258998096).

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

254121012312240 is a wasteful number, since it uses less digits than its factorization.

254121012312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240947 (or 240941 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 254121012312240 its reverse (42213210121452), we get a palindrome (296334222433692).

The spelling of 254121012312240 in words is "two hundred fifty-four trillion, one hundred twenty-one billion, twelve million, three hundred twelve thousand, two hundred forty".