501145141200 has 120 divisors (see below), whose sum is σ = 1751274521376. Its totient is φ = 121489728000.

The previous prime is 501145141151. The next prime is 501145141243. The reversal of 501145141200 is 2141541105.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×501145141200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18969571 + ... + 18995970.

Almost surely, 2^501145141200 is an apocalyptic number.

501145141200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

501145141200 is an abundant number, since it is smaller than the sum of its proper divisors (1250129380176).

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

501145141200 is a wasteful number, since it uses less digits than its factorization.

501145141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37965573 (or 37965562 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 501145141200 its reverse (2141541105), we get a palindrome (503286682305).

The spelling of 501145141200 in words is "five hundred one billion, one hundred forty-five million, one hundred forty-one thousand, two hundred".