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1201122131310 = 232535337806803
BaseRepresentation
bin10001011110101000011…
…101010011110101101110
311020211022021012021202100
4101132220131103311232
5124134344231200220
62315442103435530
7152530632442623
oct21365035236556
94224267167670
101201122131310
11423436147a42
12174951455ba6
138935ac16c2a
14421c558834a
152139d493d90
hex117a8753d6e

1201122131310 has 48 divisors (see below), whose sum is σ = 3131764416144. Its totient is φ = 319391863296.

The previous prime is 1201122131203. The next prime is 1201122131317. The reversal of 1201122131310 is 131312211021.

1201122131310 is a `hidden beast` number, since 1 + 201 + 1 + 22 + 131 + 310 = 666.

It is a super-2 number, since 2×12011221313102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201122131317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18871632 + ... + 18935171.

It is an arithmetic number, because the mean of its divisors is an integer number (65245092003).

Almost surely, 21201122131310 is an apocalyptic number.

1201122131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1201122131310 is an abundant number, since it is smaller than the sum of its proper divisors (1930642284834).

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

1201122131310 is a wasteful number, since it uses less digits than its factorization.

1201122131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37807169 (or 37807166 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1201122131310 its reverse (131312211021), we get a palindrome (1332434342331).

The spelling of 1201122131310 in words is "one trillion, two hundred one billion, one hundred twenty-two million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 353 706 1059 1765 2118 3177 3530 5295 6354 10590 15885 31770 37806803 75613606 113420409 189034015 226840818 340261227 378068030 567102045 680522454 1134204090 1701306135 3402612270 13345801459 26691602918 40037404377 66729007295 80074808754 120112213131 133458014590 200187021885 240224426262 400374043770 600561065655 1201122131310