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1221131032320 = 28351931164683
BaseRepresentation
bin10001110001010001000…
…101001101011100000000
311022201221201110202220010
4101301101011031130000
5130001334021013240
62332551351544520
7154136523341163
oct21612105153400
94281851422803
101221131032320
114309736a6471
121787b638b140
138b1c93ba124
1443162b09ada
1521b6edbc280
hex11c5114d700

1221131032320 has 144 divisors (see below), whose sum is σ = 3902030600832. Its totient is φ = 325464330240.

The previous prime is 1221131032267. The next prime is 1221131032493. The reversal of 1221131032320 is 232301311221.

It is a congruent number.

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, 7332699 + ... + 7497381.

It is an arithmetic number, because the mean of its divisors is an integer number (27097434728).

Almost surely, 21221131032320 is an apocalyptic number.

1221131032320 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 1221131032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951015300416).

1221131032320 is an abundant number, since it is smaller than the sum of its proper divisors (2680899568512).

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

1221131032320 is a wasteful number, since it uses less digits than its factorization.

1221131032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166638 (or 166624 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1221131032320 its reverse (232301311221), we get a palindrome (1453432343541).

The spelling of 1221131032320 in words is "one trillion, two hundred twenty-one billion, one hundred thirty-one million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 1931 3840 3862 5793 7724 9655 11586 15448 19310 23172 28965 30896 38620 46344 57930 61792 77240 92688 115860 123584 154480 164683 185376 231720 247168 308960 329366 370752 463440 494049 494336 617920 658732 741504 823415 926880 988098 1235840 1317464 1483008 1646830 1853760 1976196 2470245 2471680 2634928 3293660 3707520 3952392 4940490 5269856 6587320 7415040 7904784 9880980 10539712 13174640 15809568 19761960 21079424 26349280 31619136 39523920 42158848 52698560 63238272 79047840 105397120 126476544 158095680 210794240 316191360 318002873 632382720 636005746 954008619 1272011492 1590014365 1908017238 2544022984 3180028730 3816034476 4770043095 5088045968 6360057460 7632068952 9540086190 10176091936 12720114920 15264137904 19080172380 20352183872 25440229840 30528275808 38160344760 40704367744 50880459680 61056551616 76320689520 81408735488 101760919360 122113103232 152641379040 203521838720 244226206464 305282758080 407043677440 610565516160 1221131032320