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121002112332 = 22331979746429
BaseRepresentation
bin111000010110001001…
…0011011010101001100
3102120022211211012012000
41300230102123111030
53440303020043312
6131330531112300
711512354661463
oct1605422332514
9376284735160
10121002112332
11473535a0a32
121b54b442690
13b5449b3b4a
145bdc4839da
153232e52adc
hex1c2c49b54c

121002112332 has 96 divisors (see below), whose sum is σ = 334400640000. Its totient is φ = 37727456832.

The previous prime is 121002112307. The next prime is 121002112337. The reversal of 121002112332 is 233211200121.

121002112332 is a `hidden beast` number, since 121 + 0 + 0 + 211 + 2 + 332 = 666.

121002112332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1210021123322 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (121002112337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211107 + ... + 535322.

It is an arithmetic number, because the mean of its divisors is an integer number (3483340000).

Almost surely, 2121002112332 is an apocalyptic number.

121002112332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121002112332 is an abundant number, since it is smaller than the sum of its proper divisors (213398527668).

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

121002112332 is a wasteful number, since it uses less digits than its factorization.

121002112332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746540 (or 746532 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121002112332 its reverse (233211200121), we get a palindrome (354213312453).

The spelling of 121002112332 in words is "one hundred twenty-one billion, two million, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 79 108 114 158 171 228 237 316 342 474 513 684 711 948 1026 1422 1501 2052 2133 2844 3002 4266 4503 6004 8532 9006 13509 18012 27018 40527 54036 81054 162108 746429 1492858 2239287 2985716 4478574 6717861 8957148 13435722 14182151 20153583 26871444 28364302 40307166 42546453 56728604 58967891 80614332 85092906 117935782 127639359 170185812 176903673 235871564 255278718 353807346 382918077 510557436 530711019 707614692 765836154 1061422038 1120389929 1531672308 1592133057 2122844076 2240779858 3184266114 3361169787 4481559716 6368532228 6722339574 10083509361 13444679148 20167018722 30250528083 40334037444 60501056166 121002112332