Search a number
-
+
122120000202222 = 232113741939783763
BaseRepresentation
bin11011110001000101000111…
…001110110110010111101110
3121000101120001210011202210200
4123301011013032312113232
5112001303230022432342
61111421053102414330
734502610306446211
oct3361050716662756
9530346053152720
10122120000202222
1135a0288a4a8040
1211843810b913a6
13531ab35c19459
1422228d4cb9778
15e1b94c62894c
hex6f11473b65ee

122120000202222 has 96 divisors (see below), whose sum is σ = 297156072769920. Its totient is φ = 35919963034560.

The previous prime is 122120000202217. The next prime is 122120000202419. The reversal of 122120000202222 is 222202000021221.

122120000202222 is a `hidden beast` number, since 1 + 221 + 20 + 0 + 0 + 0 + 202 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 122120000202195 and 122120000202204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16822288 + ... + 22961475.

It is an arithmetic number, because the mean of its divisors is an integer number (3095375758020).

Almost surely, 2122120000202222 is an apocalyptic number.

122120000202222 is an abundant number, since it is smaller than the sum of its proper divisors (175036072567698).

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

122120000202222 is a wasteful number, since it uses less digits than its factorization.

122120000202222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39784238 (or 39784235 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122120000202222 its reverse (222202000021221), we get a palindrome (344322000223443).

The spelling of 122120000202222 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 419 666 814 838 1221 1257 2442 2514 3663 3771 4609 7326 7542 9218 13827 15503 27654 31006 41481 46509 82962 93018 139527 170533 279054 341066 511599 1023198 1534797 3069594 39783763 79567526 119351289 238702578 358053867 437621393 716107734 875242786 1312864179 1471999231 2625728358 2943998462 3938592537 4415997693 7877185074 8831995386 13247993079 16191991541 16669396697 26495986158 32383983082 33338793394 48575974623 50008190091 97151949246 100016380182 145727923869 150024570273 183363363667 291455847738 300049140546 366726727334 550090091001 616767677789 1100180182002 1233535355578 1650270273003 1850303033367 3300540546006 3700606066734 5550909100101 6784444455679 11101818200202 13568888911358 20353333367037 40706666734074 61060000101111 122120000202222