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212120020121202 = 23379166329899819
BaseRepresentation
bin110000001110110000001010…
…011100101111011001110010
31000211001110211220202000222000
4300032300022130233121302
5210300333300122334302
62031050331511154430
762452110561455034
oct6016601234573162
91024043756660860
10212120020121202
1161651660445666
121b95a345675a16
139148aa808c45b
143a549414a5c54
15197caddadc31c
hexc0ec0a72f672

212120020121202 has 64 divisors (see below), whose sum is σ = 477631684608000. Its totient is φ = 69769670512464.

The previous prime is 212120020121183. The next prime is 212120020121291. The reversal of 212120020121202 is 202121020021212.

It is a happy number.

212120020121202 is a `hidden beast` number, since 2 + 121 + 200 + 20 + 121 + 202 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7855552 + ... + 22044267.

It is an arithmetic number, because the mean of its divisors is an integer number (7462995072000).

Almost surely, 2212120020121202 is an apocalyptic number.

212120020121202 is an abundant number, since it is smaller than the sum of its proper divisors (265511664486798).

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

212120020121202 is a wasteful number, since it uses less digits than its factorization.

212120020121202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29901572 (or 29901566 counting only the distinct ones).

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

Adding to 212120020121202 its reverse (202121020021212), we get a palindrome (414241040142414).

The spelling of 212120020121202 in words is "two hundred twelve trillion, one hundred twenty billion, twenty million, one hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 474 711 1422 1663 2133 3326 4266 4989 9978 14967 29934 44901 89802 131377 262754 394131 788262 1182393 2364786 3547179 7094358 29899819 59799638 89699457 179398914 269098371 538196742 807295113 1614590226 2362085701 4724171402 7086257103 14172514206 21258771309 42517542618 49723398997 63776313927 99446797994 127552627854 149170196991 298340393982 447510590973 895021181946 1342531772919 2685063545838 3928148520763 7856297041526 11784445562289 23568891124578 35353336686867 70706673373734 106060010060601 212120020121202