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121210122220 = 225117110176831
BaseRepresentation
bin111000011100010101…
…1111010111111101100
3102120212100020012002221
41300320223322333230
53441214242402340
6131403321325124
711520462016345
oct1607053727754
9376770205087
10121210122220
114744aa54930
121b5a90367a4
13b578b13c15
145c1bd4d0cc
15324634044a
hex1c38afafec

121210122220 has 96 divisors (see below), whose sum is σ = 284384120832. Its totient is φ = 43024800000.

The previous prime is 121210122181. The next prime is 121210122263. The reversal of 121210122220 is 22221012121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121210122194 and 121210122203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1539205 + ... + 1616035.

It is an arithmetic number, because the mean of its divisors is an integer number (2962334592).

Almost surely, 2121210122220 is an apocalyptic number.

121210122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121210122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142192060416).

121210122220 is an abundant number, since it is smaller than the sum of its proper divisors (163173998612).

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

121210122220 is a wasteful number, since it uses less digits than its factorization.

121210122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77023 (or 77021 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121210122220 its reverse (22221012121), we get a palindrome (143431134341).

It can be divided in two parts, 1212101 and 22220, that added together give a palindrome (1234321).

The spelling of 121210122220 in words is "one hundred twenty-one billion, two hundred ten million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 101 110 142 202 220 284 355 404 505 710 781 1010 1111 1420 1562 2020 2222 3124 3905 4444 5555 7171 7810 11110 14342 15620 22220 28684 35855 71710 76831 78881 143420 153662 157762 307324 315524 384155 394405 768310 788810 845141 1536620 1577620 1690282 3380564 4225705 5455001 7759931 8451410 10910002 15519862 16902820 21820004 27275005 31039724 38799655 54550010 60005011 77599310 85359241 109100020 120010022 155198620 170718482 240020044 300025055 341436964 426796205 550955101 600050110 853592410 1101910202 1200100220 1707184820 2203820404 2754775505 5509551010 6060506111 11019102020 12121012222 24242024444 30302530555 60605061110 121210122220