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1221022220112 = 2432314310162981
BaseRepresentation
bin10001110001001010100…
…110000111111101010000
311022201200010201112121100
4101301022212013331100
5130001123142020422
62332532503424400
7154134032424342
oct21611246077520
94281603645540
101221022220112
11430918236222
12178785a55100
138b1ac9ac5c6
14431524a3292
1521b655767ac
hex11c4a987f50

1221022220112 has 240 divisors, whose sum is σ = 3645224833536. Its totient is φ = 380903040000.

The previous prime is 1221022220111. The next prime is 1221022220113. The reversal of 1221022220112 is 2110222201221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1221022220111) and next prime (1221022220113).

It is a super-3 number, since 3×12210222201123 (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221022220111) 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 47 ways as a sum of consecutive naturals, for example, 19355662 + ... + 19418642.

Almost surely, 21221022220112 is an apocalyptic number.

1221022220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221022220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822612416768).

1221022220112 is an abundant number, since it is smaller than the sum of its proper divisors (2424202613424).

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

1221022220112 is a wasteful number, since it uses less digits than its factorization.

1221022220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63170 (or 63161 counting only the distinct ones).

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

Adding to 1221022220112 its reverse (2110222201221), we get a palindrome (3331244421333).

The spelling of 1221022220112 in words is "one trillion, two hundred twenty-one billion, twenty-two million, two hundred twenty thousand, one hundred twelve".