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120000212001 = 32377134914543
BaseRepresentation
bin110111111000010010…
…0011110110000100001
3102110202000120101022100
41233300210132300201
53431230023241001
6131043301001013
711445500654325
oct1576044366041
9373660511270
10120000212001
1146989a9a42a
121b30b9b3169
13b41525ca07
145b4539d985
1531c4ee8586
hex1bf091ec21

120000212001 has 48 divisors (see below), whose sum is σ = 181055347200. Its totient is φ = 76516513920.

The previous prime is 120000211973. The next prime is 120000212023. The reversal of 120000212001 is 100212000021.

It is not a de Polignac number, because 120000212001 - 214 = 120000195617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120000212401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8244136 + ... + 8258678.

It is an arithmetic number, because the mean of its divisors is an integer number (3771986400).

Almost surely, 2120000212001 is an apocalyptic number.

It is an amenable number.

120000212001 is a deficient number, since it is larger than the sum of its proper divisors (61055135199).

120000212001 is a wasteful number, since it uses less digits than its factorization.

120000212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15006 (or 15003 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120000212001 its reverse (100212000021), we get a palindrome (220212212022).

The spelling of 120000212001 in words is "one hundred twenty billion, two hundred twelve thousand, one".

Divisors: 1 3 9 37 71 111 213 333 349 639 1047 2627 3141 7881 12913 14543 23643 24779 38739 43629 74337 116217 130887 223011 538091 916823 1032553 1614273 2750469 3097659 4842819 5075507 8251407 9292977 15226521 38204461 45679563 114613383 187793759 343840149 360360997 563381277 1081082991 1690143831 3243248973 13333356889 40000070667 120000212001