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1022221022112 = 25331183126183
BaseRepresentation
bin11101110000000010001…
…11101111001110100000
310121201112100012022022000
432320001013233032200
5113222002040201422
62101334000044000
7133565406216033
oct16700107571640
93551470168260
101022221022112
11364581132784
12146143903600
1375519b55534
14376936bd01a
151b8cc4a2cac
hexee011ef3a0

1022221022112 has 48 divisors (see below), whose sum is σ = 2981477983680. Its totient is φ = 340740340416.

The previous prime is 1022221022089. The next prime is 1022221022117. The reversal of 1022221022112 is 2112201222201.

It is a happy number.

1022221022112 is a `hidden beast` number, since 1 + 0 + 222 + 210 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (1022221022117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 591562228 + ... + 591563955.

It is an arithmetic number, because the mean of its divisors is an integer number (62114124660).

Almost surely, 21022221022112 is an apocalyptic number.

1022221022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022221022112 is an abundant number, since it is smaller than the sum of its proper divisors (1959256961568).

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

1022221022112 is a wasteful number, since it uses less digits than its factorization.

1022221022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183126202 (or 1183126188 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1022221022112 its reverse (2112201222201), we get a palindrome (3134422244313).

The spelling of 1022221022112 in words is "one trillion, twenty-two billion, two hundred twenty-one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1183126183 2366252366 3549378549 4732504732 7098757098 9465009464 10648135647 14197514196 18930018928 21296271294 28395028392 31944406941 37860037856 42592542588 56790056784 63888813882 85185085176 113580113568 127777627764 170370170352 255555255528 340740340704 511110511056 1022221022112