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1212221120 = 26511521661
BaseRepresentation
bin100100001000001…
…0000011011000000
310010111000012202112
41020100100123000
54440312033440
6320142034452
742016465235
oct11020203300
93114005675
101212221120
115722a3740
12299b78a28
131641b3006
14b6dd178c
1571651965
hex484106c0

1212221120 has 112 divisors (see below), whose sum is σ = 3159837216. Its totient is φ = 439296000.

The previous prime is 1212221119. The next prime is 1212221149. The reversal of 1212221120 is 211222121.

It is a junction number, because it is equal to n+sod(n) for n = 1212221095 and 1212221104.

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, 1833590 + ... + 1834250.

Almost surely, 21212221120 is an apocalyptic number.

1212221120 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 1212221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579918608).

1212221120 is an abundant number, since it is smaller than the sum of its proper divisors (1947616096).

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

1212221120 is a wasteful number, since it uses less digits than its factorization.

1212221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1212221120 is about 34816.9659792464. The cubic root of 1212221120 is about 1066.2538576211.

Adding to 1212221120 its reverse (211222121), we get a palindrome (1423443241).

The spelling of 1212221120 in words is "one billion, two hundred twelve million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 521 661 704 880 1042 1322 1760 2084 2605 2644 3305 3520 4168 5210 5288 5731 6610 7271 8336 10420 10576 11462 13220 14542 16672 20840 21152 22924 26440 28655 29084 33344 36355 41680 42304 45848 52880 57310 58168 72710 83360 91696 105760 114620 116336 145420 166720 183392 211520 229240 232672 290840 344381 366784 458480 465344 581680 688762 916960 1163360 1377524 1721905 1833920 2326720 2755048 3443810 3788191 5510096 6887620 7576382 11020192 13775240 15152764 18940955 22040384 27550480 30305528 37881910 55100960 60611056 75763820 110201920 121222112 151527640 242444224 303055280 606110560 1212221120