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121212220201220 = 22540961732400473
BaseRepresentation
bin11011100011110111101011…
…010100111101100100000100
3120220011202221000221200120002
4123203313223110331210010
5111341420111332414340
61105444043014500432
734350202545656051
oct3343675324754404
9526152830850502
10121212220201220
11356928a5342355
12117178a7364718
135283356687375
1421d09ba536028
15e0301c0ab715
hex6e3deb53d904

121212220201220 has 48 divisors (see below), whose sum is σ = 255209465916720. Its totient is φ = 48358487832576.

The previous prime is 121212220201217. The next prime is 121212220201231. The reversal of 121212220201220 is 22102022212121.

It can be written as a sum of positive squares in 8 ways, for example, as 14174200938496 + 107038019262724 = 3764864^2 + 10345918^2 .

It is a super-4 number, since 4×1212122202012204 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121212220201192 and 121212220201201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49294904 + ... + 51695376.

It is an arithmetic number, because the mean of its divisors is an integer number (5316863873265).

Almost surely, 2121212220201220 is an apocalyptic number.

121212220201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121212220201220 is an abundant number, since it is smaller than the sum of its proper divisors (133997245715500).

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

121212220201220 is a wasteful number, since it uses less digits than its factorization.

121212220201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407064 (or 2407062 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 121212220201220 its reverse (22102022212121), we get a palindrome (143314242413341).

The spelling of 121212220201220 in words is "one hundred twenty-one trillion, two hundred twelve billion, two hundred twenty million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 409 818 1636 2045 4090 6173 8180 12346 24692 30865 61730 123460 2400473 2524757 4800946 5049514 9601892 10099028 12002365 12623785 24004730 25247570 48009460 50495140 981793457 1963586914 3927173828 4908967285 9817934570 14818119829 19635869140 29636239658 59272479316 74090599145 148181198290 296362396580 6060611010061 12121222020122 24242444040244 30303055050305 60606110100610 121212220201220