Search a number
-
+
1221201211122 = 23473268738431
BaseRepresentation
bin10001110001010101010…
…000111010111011110010
311022202010121112020010000
4101301111100322323302
5130002010002223442
62333002340050430
7154141335011124
oct21612520727362
94282117466100
101221201211122
114309aa279882
12178815993a16
138b20aabc149
144316c177214
1521b76130d4c
hex11c5543aef2

1221201211122 has 80 divisors (see below), whose sum is σ = 2774984712192. Its totient is φ = 401330946240.

The previous prime is 1221201211121. The next prime is 1221201211129. The reversal of 1221201211122 is 2211121021221.

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 = 1221201211095 and 1221201211104.

It is not an unprimeable number, because it can be changed into a prime (1221201211121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31757247 + ... + 31795677.

Almost surely, 21221201211122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221201211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387492356096).

1221201211122 is an abundant number, since it is smaller than the sum of its proper divisors (1553783501070).

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

1221201211122 is a wasteful number, since it uses less digits than its factorization.

1221201211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41205 (or 41196 counting only the distinct ones).

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

Adding to 1221201211122 its reverse (2211121021221), we get a palindrome (3432322232343).

The spelling of 1221201211122 in words is "one trillion, two hundred twenty-one billion, two hundred one million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 438 657 1314 1971 2687 3942 5374 5913 8061 11826 16122 24183 38431 48366 72549 76862 115293 145098 196151 217647 230586 345879 392302 435294 588453 691758 1037637 1176906 1765359 2075274 2805463 3112911 3530718 5296077 5610926 6225822 8416389 10592154 15888231 16832778 25249167 31776462 50498334 75747501 103264097 151495002 206528194 227242503 309792291 454485006 619584582 929376873 1858753746 2788130619 5576261238 7538279081 8364391857 15076558162 16728783714 22614837243 45229674486 67844511729 135689023458 203533535187 407067070374 610600605561 1221201211122