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2120221012 = 227138965447
BaseRepresentation
bin111111001100000…
…0000000101010100
312110202120101110011
41332120000011110
513320234033022
6550215410004
7103353403240
oct17630000524
95422511404
102120221012
1199889a478
124b2083904
1327a34aa60
14161831420
15c620d977
hex7e600154

2120221012 has 48 divisors (see below), whose sum is σ = 4618010880. Its totient is φ = 829331712.

The previous prime is 2120221007. The next prime is 2120221043. The reversal of 2120221012 is 2101220212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2120220983 and 2120221001.

It is a congruent number.

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, 328 + ... + 65119.

It is an arithmetic number, because the mean of its divisors is an integer number (96208560).

Almost surely, 22120221012 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 2120221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309005440).

2120221012 is an abundant number, since it is smaller than the sum of its proper divisors (2497789868).

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

2120221012 is a wasteful number, since it uses less digits than its factorization.

2120221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65560 (or 65558 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2120221012 is about 46045.8577072900. The cubic root of 2120221012 is about 1284.6762975153.

Adding to 2120221012 its reverse (2101220212), we get a palindrome (4221441224).

The spelling of 2120221012 in words is "two billion, one hundred twenty million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 89 91 178 182 356 364 623 1157 1246 2314 2492 4628 8099 16198 32396 65447 130894 261788 458129 850811 916258 1701622 1832516 3403244 5824783 5955677 11649566 11911354 23299132 23822708 40773481 75722179 81546962 151444358 163093924 302888716 530055253 1060110506 2120221012