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2212122101220 = 2232512289567229
BaseRepresentation
bin100000001100001100110…
…000001000010111100100
321211110212121000002012100
4200030030300020113210
5242220411224214340
64412122421452100
7315551306421033
oct40141460102744
97743777002170
102212122101220
11783179290059
122b8883271030
131307aa0c94b5
14790d289471a
153c820790830
hex2030cc085e4

2212122101220 has 36 divisors (see below), whose sum is σ = 6710103707580. Its totient is φ = 589899226944.

The previous prime is 2212122101183. The next prime is 2212122101221. The reversal of 2212122101220 is 221012212122.

It is a happy number.

2212122101220 is a `hidden beast` number, since 2 + 21 + 212 + 210 + 1 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1190158811136 + 1021963290084 = 1090944^2 + 1010922^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 2212122101193 and 2212122101202.

It is not an unprimeable number, because it can be changed into a prime (2212122101221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6144783435 + ... + 6144783794.

It is an arithmetic number, because the mean of its divisors is an integer number (186391769655).

Almost surely, 22212122101220 is an apocalyptic number.

2212122101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212122101220 is an abundant number, since it is smaller than the sum of its proper divisors (4497981606360).

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

2212122101220 is a wasteful number, since it uses less digits than its factorization.

2212122101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12289567244 (or 12289567239 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2212122101220 its reverse (221012212122), we get a palindrome (2433134313342).

The spelling of 2212122101220 in words is "two trillion, two hundred twelve billion, one hundred twenty-two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12289567229 24579134458 36868701687 49158268916 61447836145 73737403374 110606105061 122895672290 147474806748 184343508435 221212210122 245791344580 368687016870 442424420244 553030525305 737374033740 1106061050610 2212122101220