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120000211221 = 31110952164033
BaseRepresentation
bin110111111000010010…
…0011110100100010101
3102110202000120100020110
41233300210132210111
53431230023224341
6131043300553233
711445500652132
oct1576044364425
9373660510213
10120000211221
1146989a99890
121b30b9b2819
13b41525c557
145b4539d589
1531c4ee8216
hex1bf091e915

120000211221 has 32 divisors (see below), whose sum is σ = 176487949440. Its totient is φ = 71920742400.

The previous prime is 120000211211. The next prime is 120000211223. The reversal of 120000211221 is 122112000021.

It is a de Polignac number, because none of the positive numbers 2k-120000211221 is a prime.

It is a super-2 number, since 2×1200002112212 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120000211197 and 120000211206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120000211223) 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 31 ways as a sum of consecutive naturals, for example, 1842021 + ... + 1906053.

It is an arithmetic number, because the mean of its divisors is an integer number (5515248420).

Almost surely, 2120000211221 is an apocalyptic number.

120000211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120000211221 is a deficient number, since it is larger than the sum of its proper divisors (56487738219).

120000211221 is a wasteful number, since it uses less digits than its factorization.

120000211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64677.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120000211221 its reverse (122112000021), we get a palindrome (242112211242).

It can be divided in two parts, 12000021 and 1221, that multiplied together give a palindrome (14652025641).

The spelling of 120000211221 in words is "one hundred twenty billion, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 11 33 109 327 521 1199 1563 3597 5731 17193 56789 64033 170367 192099 624679 704363 1874037 2113089 6979597 20938791 33361193 76775567 100083579 230326701 366973123 1100919369 3636370037 10909110111 40000070407 120000211221