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1221332331120 = 243511974769339
BaseRepresentation
bin10001110001011101000…
…101000110101001110000
311022202110202020210221020
4101301131011012221300
5130002242034043440
62333023342255440
7154144516345146
oct21613505065160
94282422223836
101221332331120
11430a67296210
12178851887580
138b22c00a645
1443181749596
1521b828d13d0
hex11c5d146a70

1221332331120 has 160 divisors (see below), whose sum is σ = 4172905416960. Its totient is φ = 293028126720.

The previous prime is 1221332331119. The next prime is 1221332331127. The reversal of 1221332331120 is 211332331221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221332331127) 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, 2128590 + ... + 2640749.

It is an arithmetic number, because the mean of its divisors is an integer number (26080658856).

Almost surely, 21221332331120 is an apocalyptic number.

1221332331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221332331120 is an abundant number, since it is smaller than the sum of its proper divisors (2951573085840).

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

1221332331120 is a wasteful number, since it uses less digits than its factorization.

1221332331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4769463 (or 4769457 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1221332331120 its reverse (211332331221), we get a palindrome (1432664662341).

The spelling of 1221332331120 in words is "one trillion, two hundred twenty-one billion, three hundred thirty-two million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 97 110 120 132 165 176 194 220 240 264 291 330 388 440 485 528 582 660 776 880 970 1067 1164 1320 1455 1552 1940 2134 2328 2640 2910 3201 3880 4268 4656 5335 5820 6402 7760 8536 10670 11640 12804 16005 17072 21340 23280 25608 32010 42680 51216 64020 85360 128040 256080 4769339 9538678 14308017 19077356 23846695 28616034 38154712 47693390 52462729 57232068 71540085 76309424 95386780 104925458 114464136 143080170 157388187 190773560 209850916 228928272 262313645 286160340 314776374 381547120 419701832 462625883 524627290 572320680 629552748 786940935 839403664 925251766 1049254580 1144641360 1259105496 1387877649 1573881870 1850503532 2098509160 2313129415 2518210992 2775755298 3147763740 3701007064 4197018320 4626258830 5088884713 5551510596 6295527480 6939388245 7402014128 9252517660 10177769426 11103021192 12591054960 13878776490 15266654139 18505035320 20355538852 22206042384 25444423565 27757552980 30533308278 37010070640 40711077704 50888847130 55515105960 61066616556 76333270695 81422155408 101777694260 111030211920 122133233112 152666541390 203555388520 244266466224 305333082780 407110777040 610666165560 1221332331120