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1221211121112 = 233237458412583
BaseRepresentation
bin10001110001010101110…
…110101110010111011000
311022202011022011201001200
4101301111312232113120
5130002020021333422
62333003332314200
7154141515154203
oct21612566562730
94282138151050
101221211121112
11430a04928354
12178819172960
138b20cb7ba48
144316d5d693a
1521b76e3c2ac
hex11c55dae5d8

1221211121112 has 48 divisors (see below), whose sum is σ = 3396837247440. Its totient is φ = 396068470848.

The previous prime is 1221211121111. The next prime is 1221211121131. The reversal of 1221211121112 is 2111211121221.

It is a happy number.

1221211121112 is a `hidden beast` number, since 1 + 221 + 211 + 121 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221211121111) 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, 229203628 + ... + 229208955.

It is an arithmetic number, because the mean of its divisors is an integer number (70767442655).

Almost surely, 21221211121112 is an apocalyptic number.

1221211121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1221211121112 is an abundant number, since it is smaller than the sum of its proper divisors (2175626126328).

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

1221211121112 is a wasteful number, since it uses less digits than its factorization.

1221211121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458412632 (or 458412625 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 1221211121112 its reverse (2111211121221), we get a palindrome (3332422242333).

It can be divided in two parts, 1221 and 211121112, that multiplied together give a palindrome (257778877752).

The spelling of 1221211121112 in words is "one trillion, two hundred twenty-one billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 458412583 916825166 1375237749 1833650332 2750475498 3667300664 4125713247 5500950996 8251426494 11001901992 16502852988 16961265571 33005705976 33922531142 50883796713 67845062284 101767593426 135690124568 152651390139 203535186852 305302780278 407070373704 610605560556 1221211121112