1201029672 has 96 divisors (see below), whose sum is σ = 3217773600. Its totient is φ = 373431168.

The previous prime is 1201029637. The next prime is 1201029679. The reversal of 1201029672 is 2769201021.

It is not an unprimeable number, because it can be changed into a prime (1201029679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 579454 + ... + 581522.

It is an arithmetic number, because the mean of its divisors is an integer number (33518475).

Almost surely, 2^1201029672 is an apocalyptic number.

1201029672 is a gapful number since it is divisible by the number (12) 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 1201029672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608886800).

1201029672 is an abundant number, since it is smaller than the sum of its proper divisors (2016743928).

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

1201029672 is a wasteful number, since it uses less digits than its factorization.

1201029672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1201029672 is about 34655.8749997746. The cubic root of 1201029672 is about 1062.9624238946.

The spelling of 1201029672 in words is "one billion, two hundred one million, twenty-nine thousand, six hundred seventy-two".