10120143260500 has 192 divisors, whose sum is σ = 27363930048000. Its totient is φ = 3202856092800.

The previous prime is 10120143260477. The next prime is 10120143260509. The reversal of 10120143260500 is 506234102101.

It is a happy number.

It is a super-3 number, since 3×10120143260500³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120143260509) 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, 7031451 + ... + 8347549.

It is an arithmetic number, because the mean of its divisors is an integer number (142520469000).

Almost surely, 2^{10120143260500} is an apocalyptic number.

10120143260500 is a gapful number since it is divisible by the number (10) 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 10120143260500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13681965024000).

10120143260500 is an abundant number, since it is smaller than the sum of its proper divisors (17243786787500).

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

10120143260500 is a wasteful number, since it uses less digits than its factorization.

10120143260500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316164 (or 1316126 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 10120143260500 its reverse (506234102101), we get a palindrome (10626377362601).

The spelling of 10120143260500 in words is "ten trillion, one hundred twenty billion, one hundred forty-three million, two hundred sixty thousand, five hundred".