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121211121220020 = 223251351799624453
BaseRepresentation
bin11011100011110110101001…
…110100101011100110110100
3120220011200002110000122202200
4123203312221310223212310
5111341410334013020040
61105443341555504500
734350133402535166
oct3343665164534664
9526150073018680
10121211121220020
1135692390a63527
121171763b2b8130
13528320caa2330
1421d09145c0936
15e02ea5877630
hex6e3da9d2b9b4

121211121220020 has 72 divisors (see below), whose sum is σ = 395956329326376. Its totient is φ = 29836583684352.

The previous prime is 121211121219977. The next prime is 121211121220199. The reversal of 121211121220020 is 20022121112121.

121211121220020 is a `hidden beast` number, since 1 + 21 + 211 + 1 + 212 + 200 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3790014665616 + 117421106554404 = 1946796^2 + 10836102^2 .

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 = 121211121219975 and 121211121220002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25899809887 + ... + 25899814566.

Almost surely, 2121211121220020 is an apocalyptic number.

121211121220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121211121220020 is an abundant number, since it is smaller than the sum of its proper divisors (274745208106356).

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

121211121220020 is a wasteful number, since it uses less digits than its factorization.

121211121220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51799624481 (or 51799624476 counting only the distinct ones).

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

Adding to 121211121220020 its reverse (20022121112121), we get a palindrome (141233242332141).

The spelling of 121211121220020 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred twenty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 51799624453 103599248906 155398873359 207198497812 258998122265 310797746718 466196620077 517996244530 621595493436 673395117889 776994366795 932393240154 1035992489060 1346790235778 1553988733590 1864786480308 2020185353667 2330983100385 2693580471556 3107977467180 3366975589445 4040370707334 4661966200770 6060556061001 6733951178890 8080741414668 9323932401540 10100926768335 12121112122002 13467902357780 20201853536670 24242224244004 30302780305005 40403707073340 60605560610010 121211121220020