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2120121232 = 241922315959
BaseRepresentation
bin111111001011110…
…0111101110010000
312110202101022120121
41332113213232100
513320222334412
6550213320024
7103352506315
oct17627475620
95422338517
102120121232
11998831509
124b2036014
1327a314508
14161806d0c
15c61de107
hex7e5e7b90

2120121232 has 60 divisors (see below), whose sum is σ = 4524085440. Its totient is φ = 960543936.

The previous prime is 2120121197. The next prime is 2120121233. The reversal of 2120121232 is 2321210212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2120121233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124869 + ... + 140827.

It is an arithmetic number, because the mean of its divisors is an integer number (75401424).

Almost surely, 22120121232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262042720).

2120121232 is an abundant number, since it is smaller than the sum of its proper divisors (2403964208).

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

2120121232 is a wasteful number, since it uses less digits than its factorization.

2120121232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16028 (or 16003 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2120121232 is about 46044.7742094583. The cubic root of 2120121232 is about 1284.6561444258.

Adding to 2120121232 its reverse (2321210212), we get a palindrome (4441331444).

The spelling of 2120121232 in words is "two billion, one hundred twenty million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 361 368 437 722 874 1444 1748 2888 3496 5776 6992 8303 15959 16606 31918 33212 63836 66424 127672 132848 255344 303221 367057 606442 734114 1212884 1468228 2425768 2936456 4851536 5761199 5872912 6974083 11522398 13948166 23044796 27896332 46089592 55792664 92179184 111585328 132507577 265015154 530030308 1060060616 2120121232