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121211100222120 = 23325734612294529
BaseRepresentation
bin11011100011110110101000…
…100100100101001010101000
3120220011200000222111212001200
4123203312220210211022220
5111341410313124101440
61105443335525444200
734350133026211626
oct3343665044451250
9526150028455050
10121211100222120
1135692380121497
1211717634270660
13528320862c93c
1421d09118b6516
15e02ea3acac30
hex6e3da89252a8

121211100222120 has 96 divisors (see below), whose sum is σ = 399332460407400. Its totient is φ = 31880179777536.

The previous prime is 121211100222073. The next prime is 121211100222127. The reversal of 121211100222120 is 21222001112121.

121211100222120 is a `hidden beast` number, since 1 + 212 + 1 + 110 + 0 + 222 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 95504922566244 + 25706177655876 = 9772662^2 + 5070126^2 .

It is a super-2 number, since 2×1212111002221202 (a number of 29 digits) contains 22 as substring.

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 = 121211100222093 and 121211100222102.

It is not an unprimeable number, because it can be changed into a prime (121211100222127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2306120985 + ... + 2306173544.

Almost surely, 2121211100222120 is an apocalyptic number.

121211100222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121211100222120 is an abundant number, since it is smaller than the sum of its proper divisors (278121360185280).

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

121211100222120 is a wasteful number, since it uses less digits than its factorization.

121211100222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4612294619 (or 4612294612 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121211100222120 its reverse (21222001112121), we get a palindrome (142433101334241).

The spelling of 121211100222120 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8760 13140 26280 4612294529 9224589058 13836883587 18449178116 23061472645 27673767174 36898356232 41510650761 46122945290 55347534348 69184417935 83021301522 92245890580 110695068696 138368835870 166042603044 184491781160 207553253805 276737671740 332085206088 336697500617 415106507610 553475343480 673395001234 830213015220 1010092501851 1346790002468 1660426030440 1683487503085 2020185003702 2693580004936 3030277505553 3366975006170 4040370007404 5050462509255 6060555011106 6733950012340 8080740014808 10100925018510 12121110022212 13467900024680 15151387527765 20201850037020 24242220044424 30302775055530 40403700074040 60605550111060 121211100222120