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1201022112 = 25326347569
BaseRepresentation
bin100011110010110…
…0010010010100000
310002200221020121110
41013211202102200
54424430201422
6315102023320
741522343123
oct10745422240
93080836543
101201022112
11566a44764
12296277b40
13161a91794
14b57183ba
157068d60c
hex479624a0

1201022112 has 48 divisors (see below), whose sum is σ = 3164736960. Its totient is φ = 398810112.

The previous prime is 1201022111. The next prime is 1201022131. The reversal of 1201022112 is 2112201021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×12010221122 = 2884908227025881088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1201022111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1464 + ... + 49032.

It is an arithmetic number, because the mean of its divisors is an integer number (65932020).

Almost surely, 21201022112 is an apocalyptic number.

1201022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1201022112 is an abundant number, since it is smaller than the sum of its proper divisors (1963714848).

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

1201022112 is a wasteful number, since it uses less digits than its factorization.

1201022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47845 (or 47837 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1201022112 is about 34655.7659271874. The cubic root of 1201022112 is about 1062.9601935826.

Adding to 1201022112 its reverse (2112201021), we get a palindrome (3313223133).

The spelling of 1201022112 in words is "one billion, two hundred one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 263 526 789 1052 1578 2104 3156 4208 6312 8416 12624 25248 47569 95138 142707 190276 285414 380552 570828 761104 1141656 1522208 2283312 4566624 12510647 25021294 37531941 50042588 75063882 100085176 150127764 200170352 300255528 400340704 600511056 1201022112