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1221022221132 = 22371922718111861
BaseRepresentation
bin10001110001001010100…
…110001000001101001100
311022201200010201121000010
4101301022212020031030
5130001123142034012
62332532503433220
7154134032430330
oct21611246101514
94281603647003
101221022221132
11430918236a6a
12178785a55810
138b1ac9acbcc
14431524a37c0
1521b65576c3c
hex11c4a98834c

1221022221132 has 192 divisors, whose sum is σ = 3446281359360. Its totient is φ = 328687891200.

The previous prime is 1221022221131. The next prime is 1221022221149. The reversal of 1221022221132 is 2311222201221.

It is a super-2 number, since 2×12210222211322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1221022221099 and 1221022221108.

It is not an unprimeable number, because it can be changed into a prime (1221022221131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 656109882 + ... + 656111742.

It is an arithmetic number, because the mean of its divisors is an integer number (17949382080).

Almost surely, 21221022221132 is an apocalyptic number.

1221022221132 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 1221022221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723140679680).

1221022221132 is an abundant number, since it is smaller than the sum of its proper divisors (2225259138228).

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

1221022221132 is a wasteful number, since it uses less digits than its factorization.

1221022221132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1221022221132 its reverse (2311222201221), we get a palindrome (3532244422353).

The spelling of 1221022221132 in words is "one trillion, two hundred twenty-one billion, twenty-two million, two hundred twenty-one thousand, one hundred thirty-two".