Search a number
-
+
121020100000212 = 2237373402772009
BaseRepresentation
bin11011100001000100110000…
…000100100011100111010100
3120212111102000211220021011210
4123201010300010203213110
5111330243131100001322
61105215511052101420
734330261616133000
oct3341046004434724
9525442024807153
10121020100000212
113561937750a826
12116a660a764870
13526b1b9a13a5a
1421c5592b8d700
15ded0257dc70c
hex6e11301239d4

121020100000212 has 96 divisors (see below), whose sum is σ = 333817441888000. Its totient is φ = 34103511461376.

The previous prime is 121020100000181. The next prime is 121020100000231. The reversal of 121020100000212 is 212000001020121.

It is a super-2 number, since 2×1210201000002122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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, 201085537 + ... + 201686472.

Almost surely, 2121020100000212 is an apocalyptic number.

121020100000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121020100000212 is an abundant number, since it is smaller than the sum of its proper divisors (212797341887788).

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

121020100000212 is a wasteful number, since it uses less digits than its factorization.

121020100000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402772110 (or 402772094 counting only the distinct ones).

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

Adding to 121020100000212 its reverse (212000001020121), we get a palindrome (333020101020333).

The spelling of 121020100000212 in words is "one hundred twenty-one trillion, twenty billion, one hundred million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 73 84 98 146 147 196 219 292 294 343 438 511 588 686 876 1022 1029 1372 1533 2044 2058 3066 3577 4116 6132 7154 10731 14308 21462 25039 42924 50078 75117 100156 150234 300468 402772009 805544018 1208316027 1611088036 2416632054 2819404063 4833264108 5638808126 8458212189 11277616252 16916424378 19735828441 29402356657 33832848756 39471656882 58804713314 59207485323 78943313764 88207069971 117609426628 118414970646 138150799087 176414139942 205816496599 236829941292 276301598174 352828279884 411632993198 414452397261 552603196348 617449489797 823265986396 828904794522 1234898979594 1440715476193 1657809589044 2469797959188 2881430952386 4322146428579 5762861904772 8644292857158 10085008333351 17288585714316 20170016666702 30255025000053 40340033333404 60510050000106 121020100000212