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1221212012120 = 235235937016079
BaseRepresentation
bin10001110001010101111…
…010000111111001011000
311022202011100211222021222
4101301111322013321120
5130002020233341440
62333003403351212
7154141525554662
oct21612572077130
94282140758258
101221212012120
11430a05386821
12178819522508
138b210101479
144316d789532
1521b770662b5
hex11c55e87e58

1221212012120 has 128 divisors (see below), whose sum is σ = 2917057536000. Its totient is φ = 459127257600.

The previous prime is 1221212012099. The next prime is 1221212012123. The reversal of 1221212012120 is 212102121221.

It is a super-3 number, since 3×12212120121203 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221212012123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200887241 + ... + 200893319.

It is an arithmetic number, because the mean of its divisors is an integer number (22789512000).

Almost surely, 21221212012120 is an apocalyptic number.

1221212012120 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 1221212012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458528768000).

1221212012120 is an abundant number, since it is smaller than the sum of its proper divisors (1695845523880).

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

1221212012120 is a wasteful number, since it uses less digits than its factorization.

1221212012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9873 (or 9869 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1221212012120 its reverse (212102121221), we get a palindrome (1433314133341).

The spelling of 1221212012120 in words is "one trillion, two hundred twenty-one billion, two hundred twelve million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 59 92 115 118 184 230 236 295 460 472 590 920 1180 1357 2360 2714 3701 5428 6079 6785 7402 10856 12158 13570 14804 18505 24316 27140 29608 30395 37010 48632 54280 60790 74020 85123 121580 139817 148040 170246 218359 243160 279634 340492 358661 425615 436718 559268 680984 699085 717322 851230 873436 1091795 1118536 1398170 1434644 1702460 1746872 1793305 2183590 2796340 2869288 3404920 3586610 4367180 5022257 5592680 7173220 8249203 8734360 10044514 14346440 16498406 20089028 22498379 25111285 32996812 40178056 41246015 44996758 50222570 65993624 82492030 89993516 100445140 112491895 164984060 179987032 200890280 224983790 329968120 449967580 517462717 899935160 1034925434 1327404361 2069850868 2587313585 2654808722 4139701736 5174627170 5309617444 6637021805 10349254340 10619234888 13274043610 20698508680 26548087220 30530300303 53096174440 61060600606 122121201212 152651501515 244242402424 305303003030 610606006060 1221212012120