120838115667 has 16 divisors (see below), whose sum is σ = 172251256320. Its totient is φ = 75083874432.

The previous prime is 120838115647. The next prime is 120838115681. The reversal of 120838115667 is 766511838021.

It is not a de Polignac number, because 120838115667 - 2⁶ = 120838115603 is a prime.

It is a super-3 number, since 3×120838115667³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (120838115647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11496567 + ... + 11507072.

It is an arithmetic number, because the mean of its divisors is an integer number (10765703520).

Almost surely, 2^120838115667 is an apocalyptic number.

120838115667 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

120838115667 is a deficient number, since it is larger than the sum of its proper divisors (51413140653).

120838115667 is a wasteful number, since it uses less digits than its factorization.

120838115667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23003762.

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 120838115667 in words is "one hundred twenty billion, eight hundred thirty-eight million, one hundred fifteen thousand, six hundred sixty-seven".