161367001120 has 96 divisors (see below), whose sum is σ = 410701218480. Its totient is φ = 59560427520.

The previous prime is 161367001111. The next prime is 161367001153. The reversal of 161367001120 is 21100763161.

It can be written as a sum of positive squares in 8 ways, for example, as 19397804176 + 141969196944 = 139276^2 + 376788^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6579280 + ... + 6603760.

Almost surely, 2^161367001120 is an apocalyptic number.

161367001120 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 161367001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205350609240).

161367001120 is an abundant number, since it is smaller than the sum of its proper divisors (249334217360).

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

161367001120 is a wasteful number, since it uses less digits than its factorization.

161367001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27678 (or 27670 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

Adding to 161367001120 its reverse (21100763161), we get a palindrome (182467764281).

The spelling of 161367001120 in words is "one hundred sixty-one billion, three hundred sixty-seven million, one thousand, one hundred twenty".