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122211104 = 2529791667
BaseRepresentation
bin1110100100011…
…00101100100000
322111221222010012
413102030230200
5222241223404
620043224052
73012530411
oct722145440
9274858105
10122211104
1162a92014
1234b18028
131c41c482
1412333808
15aae0a6e
hex748cb20

122211104 has 48 divisors (see below), whose sum is σ = 252201600. Its totient is φ = 58216704.

The previous prime is 122211091. The next prime is 122211157. The reversal of 122211104 is 401112221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72479 + ... + 74145.

It is an arithmetic number, because the mean of its divisors is an integer number (5254200).

Almost surely, 2122211104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126100800).

122211104 is an abundant number, since it is smaller than the sum of its proper divisors (129990496).

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

122211104 is a wasteful number, since it uses less digits than its factorization.

122211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 122211104 is about 11054.9131158956. The cubic root of 122211104 is about 496.2534691304.

Adding to 122211104 its reverse (401112221), we get a palindrome (523323325).

The spelling of 122211104 in words is "one hundred twenty-two million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 79 116 158 232 316 464 632 928 1264 1667 2291 2528 3334 4582 6668 9164 13336 18328 26672 36656 48343 53344 73312 96686 131693 193372 263386 386744 526772 773488 1053544 1546976 2107088 3819097 4214176 7638194 15276388 30552776 61105552 122211104