120146117641 has 9 divisors (see below), whose sum is σ = 132065626189. Its totient is φ = 109220277100.

The previous prime is 120146117639. The next prime is 120146117647. The reversal of 120146117641 is 146711641021.

The square root of 120146117641 is 346621.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 120146117641 - 2¹ = 120146117639 is a prime.

It is a super-2 number, since 2×120146117641² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120146117597 and 120146117606.

It is not an unprimeable number, because it can be changed into a prime (120146117647) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3797076 + ... + 3828586.

Almost surely, 2^120146117641 is an apocalyptic number.

120146117641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120146117641 is the 346621-st square number.

120146117641 is the 173311-st centered octagonal number.

It is an amenable number.

120146117641 is a deficient number, since it is larger than the sum of its proper divisors (11919508548).

120146117641 is an frugal number, since it uses more digits than its factorization.

120146117641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63044 (or 31522 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

Adding to 120146117641 its reverse (146711641021), we get a palindrome (266857758662).

The spelling of 120146117641 in words is "one hundred twenty billion, one hundred forty-six million, one hundred seventeen thousand, six hundred forty-one".