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2122120020 = 2235181195407
BaseRepresentation
bin111111001111100…
…1111101101010100
312110220010212101210
41332133033231110
513321230320040
6550324221420
7103405502556
oct17637175524
95426125353
102122120020
119999771a9
124b283a870
1327a864227
14161ba74d6
15c6486480
hex7e7cfb54

2122120020 has 48 divisors (see below), whose sum is σ = 5974795008. Its totient is φ = 562769280.

The previous prime is 2122119913. The next prime is 2122120031. The reversal of 2122120020 is 200212212.

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

It is a junction number, because it is equal to n+sod(n) for n = 2122119978 and 2122120005.

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, 86844 + ... + 108563.

It is an arithmetic number, because the mean of its divisors is an integer number (124474896).

Almost surely, 22122120020 is an apocalyptic number.

2122120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122120020 is an abundant number, since it is smaller than the sum of its proper divisors (3852674988).

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

2122120020 is a wasteful number, since it uses less digits than its factorization.

2122120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195600 (or 195598 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2122120020 is about 46066.4739262731. The cubic root of 2122120020 is about 1285.0597296445.

Adding to 2122120020 its reverse (200212212), we get a palindrome (2322332232).

The spelling of 2122120020 in words is "two billion, one hundred twenty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 362 543 724 905 1086 1810 2172 2715 3620 5430 10860 195407 390814 586221 781628 977035 1172442 1954070 2344884 2931105 3908140 5862210 11724420 35368667 70737334 106106001 141474668 176843335 212212002 353686670 424424004 530530005 707373340 1061060010 2122120020