Search a number
-
+
2122111121220 = 2232511789506229
BaseRepresentation
bin11110111000010111101…
…011011111011101000100
321111212112120110112100100
4132320113223133131010
5234232040421334340
64302515010044100
7306213614623566
oct36702753373504
97455476415310
102122111121220
11748a8944a592
122a3342879630
13125163c3159c
14749d4339336
153a303495830
hex1ee17adf744

2122111121220 has 36 divisors (see below), whose sum is σ = 6437070401580. Its totient is φ = 565896298944.

The previous prime is 2122111121213. The next prime is 2122111121227. The reversal of 2122111121220 is 221211112212.

2122111121220 is a `hidden beast` number, since 212 + 2 + 111 + 121 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (2122111121213) and next prime (2122111121227).

It can be written as a sum of positive squares in 2 ways, for example, as 1613590953984 + 508520167236 = 1270272^2 + 713106^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×21221111212202 (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 junction number, because it is equal to n+sod(n) for n = 2122111121193 and 2122111121202.

It is not an unprimeable number, because it can be changed into a prime (2122111121227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5894752935 + ... + 5894753294.

It is an arithmetic number, because the mean of its divisors is an integer number (178807511155).

Almost surely, 22122111121220 is an apocalyptic number.

2122111121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122111121220 is an abundant number, since it is smaller than the sum of its proper divisors (4314959280360).

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

2122111121220 is a wasteful number, since it uses less digits than its factorization.

2122111121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11789506244 (or 11789506239 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2122111121220 its reverse (221211112212), we get a palindrome (2343322233432).

The spelling of 2122111121220 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11789506229 23579012458 35368518687 47158024916 58947531145 70737037374 106105556061 117895062290 141474074748 176842593435 212211112122 235790124580 353685186870 424422224244 530527780305 707370373740 1061055560610 2122111121220