601171200000 has 1728 divisors, whose sum is σ = 2625750691200. Its totient is φ = 135475200000.

The previous prime is 601171199969. The next prime is 601171200011. The reversal of 601171200000 is 2171106.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×601171200000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8467199965 + ... + 8467200035.

It is an arithmetic number, because the mean of its divisors is an integer number (1519531650).

Almost surely, 2^601171200000 is an apocalyptic number.

601171200000 is a gapful number since it is divisible by the number (60) 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 601171200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312875345600).

601171200000 is an abundant number, since it is smaller than the sum of its proper divisors (2024579491200).

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

601171200000 is an frugal number, since it uses more digits than its factorization.

601171200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 601171200000 its reverse (2171106), we get a palindrome (601173371106).

The spelling of 601171200000 in words is "six hundred one billion, one hundred seventy-one million, two hundred thousand".