1234000220544 has 768 divisors, whose sum is σ = 4655173985280. Its totient is φ = 316627771392.

The previous prime is 1234000220543. The next prime is 1234000220567. The reversal of 1234000220544 is 4450220004321.

1234000220544 is a `hidden beast` number, since 12 + 3 + 400 + 0 + 2 + 205 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234000220543) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104721277 + ... + 104733059.

It is an arithmetic number, because the mean of its divisors is an integer number (6061424460).

Almost surely, 2^{1234000220544} is an apocalyptic number.

1234000220544 is a gapful number since it is divisible by the number (14) 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 1234000220544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327586992640).

1234000220544 is an abundant number, since it is smaller than the sum of its proper divisors (3421173764736).

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

1234000220544 is a wasteful number, since it uses less digits than its factorization.

1234000220544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11869 (or 11845 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 1234000220544 its reverse (4450220004321), we get a palindrome (5684220224865).

The spelling of 1234000220544 in words is "one trillion, two hundred thirty-four billion, two hundred twenty thousand, five hundred forty-four".