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12211021221132 = 2231983645266393
BaseRepresentation
bin1011000110110001100110…
…0101010000110100001100
31121020100210001201211110010
42301230121211100310030
53100031132413034012
641545355443113220
72400134326545366
oct261543145206414
947210701654403
1012211021221132
113988735158618
1214526b2372810
136a7657156586
143030336d5d36
15162983c26c3c
hexb1b19950d0c

12211021221132 has 48 divisors (see below), whose sum is σ = 30353331173760. Its totient is φ = 3809652778368.

The previous prime is 12211021221131. The next prime is 12211021221163. The reversal of 12211021221132 is 23112212011221.

It is a super-2 number, since 2×122110212211322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211021221099 and 12211021221108.

It is not an unprimeable number, because it can be changed into a prime (12211021221131) 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 15 ways as a sum of consecutive naturals, for example, 322614273 + ... + 322652120.

It is an arithmetic number, because the mean of its divisors is an integer number (632361066120).

Almost surely, 212211021221132 is an apocalyptic number.

12211021221132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12211021221132 is an abundant number, since it is smaller than the sum of its proper divisors (18142309952628).

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

12211021221132 is a wasteful number, since it uses less digits than its factorization.

12211021221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645266502 (or 645266500 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 12211021221132 its reverse (23112212011221), we get a palindrome (35323233232353).

The spelling of 12211021221132 in words is "twelve trillion, two hundred eleven billion, twenty-one million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 83 114 166 228 249 332 498 996 1577 3154 4731 6308 9462 18924 645266393 1290532786 1935799179 2581065572 3871598358 7743196716 12260061467 24520122934 36780184401 49040245868 53557110619 73560368802 107114221238 147120737604 160671331857 214228442476 321342663714 642685327428 1017585101761 2035170203522 3052755305283 4070340407044 6105510610566 12211021221132