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1223272120 = 2357109149269
BaseRepresentation
bin100100011101001…
…1010011010111000
310011020210122212211
41020322122122320
510001124201440
6321214544504
742212433010
oct11072323270
93136718784
101223272120
115785614a4
122a1808134
13166582075
14b866ac40
15725d5eea
hex48e9a6b8

1223272120 has 128 divisors (see below), whose sum is σ = 3207600000. Its totient is φ = 411236352.

The previous prime is 1223272109. The next prime is 1223272151. The reversal of 1223272120 is 212723221.

It is a junction number, because it is equal to n+sod(n) for n = 1223272091 and 1223272100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4547346 + ... + 4547614.

It is an arithmetic number, because the mean of its divisors is an integer number (25059375).

Almost surely, 21223272120 is an apocalyptic number.

1223272120 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 1223272120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603800000).

1223272120 is an abundant number, since it is smaller than the sum of its proper divisors (1984327880).

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

1223272120 is a wasteful number, since it uses less digits than its factorization.

1223272120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 1223272120 is about 34975.3072895722. The cubic root of 1223272120 is about 1069.4841663046.

Adding to 1223272120 its reverse (212723221), we get a palindrome (1435995341).

The spelling of 1223272120 in words is "one billion, two hundred twenty-three million, two hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 109 140 149 218 269 280 298 436 538 545 596 745 763 872 1043 1076 1090 1192 1345 1490 1526 1883 2086 2152 2180 2690 2980 3052 3766 3815 4172 4360 5215 5380 5960 6104 7532 7630 8344 9415 10430 10760 15064 15260 16241 18830 20860 29321 30520 32482 37660 40081 41720 58642 64964 75320 80162 81205 113687 117284 129928 146605 160324 162410 200405 205247 227374 234568 280567 293210 320648 324820 400810 410494 454748 561134 568435 586420 649640 801620 820988 909496 1026235 1122268 1136870 1172840 1402835 1603240 1641976 2052470 2244536 2273740 2805670 4104940 4368829 4547480 5611340 8209880 8737658 11222680 17475316 21844145 30581803 34950632 43688290 61163606 87376580 122327212 152909015 174753160 244654424 305818030 611636060 1223272120