Search a number
-
+
12220211012020 = 22511457121545763
BaseRepresentation
bin1011000111010011110101…
…0101100010000110110100
31121021020111111221120121121
42301310331111202012310
53100203443004341040
641553515404153324
72400611135513554
oct261647525420664
947236444846547
1012220211012020
113991620599520
121454437b38844
136a849002806b
14303665dd3164
15162d208e2c4a
hexb1d3d5621b4

12220211012020 has 48 divisors (see below), whose sum is σ = 28056651795648. Its totient is φ = 4433989397760.

The previous prime is 12220211011901. The next prime is 12220211012021. The reversal of 12220211012020 is 2021011202221.

It is a happy number.

12220211012020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12220211011985 and 12220211012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220211012021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60672342 + ... + 60873421.

It is an arithmetic number, because the mean of its divisors is an integer number (584513579076).

Almost surely, 212220211012020 is an apocalyptic number.

12220211012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220211012020 is an abundant number, since it is smaller than the sum of its proper divisors (15836440783628).

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

12220211012020 is a wasteful number, since it uses less digits than its factorization.

12220211012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121546240 (or 121546238 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12220211012020 its reverse (2021011202221), we get a palindrome (14241222214241).

The spelling of 12220211012020 in words is "twelve trillion, two hundred twenty billion, two hundred eleven million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 457 914 1828 2285 4570 5027 9140 10054 20108 25135 50270 100540 121545763 243091526 486183052 607728815 1215457630 1337003393 2430915260 2674006786 5348013572 6685016965 13370033930 26740067860 55546413691 111092827382 222185654764 277732068455 555464136910 611010550601 1110928273820 1222021101202 2444042202404 3055052753005 6110105506010 12220211012020