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13122120030120 = 2333531391939069
BaseRepresentation
bin1011111011110011101101…
…0011011001011110101000
31201110110111002212211101000
42332330323103121132220
53204443100211430440
643524115124355000
72523020236623543
oct276747323313650
951413432784330
1013122120030120
1141aa072733922
12157b1a3545a60
1374254515467a
14335184b4d85a
1517b50a80e730
hexbef3b4d97a8

13122120030120 has 128 divisors (see below), whose sum is σ = 45151380864000. Its totient is φ = 3386353547520.

The previous prime is 13122120030101. The next prime is 13122120030133. The reversal of 13122120030120 is 2103002122131.

13122120030120 is a `hidden beast` number, since 1 + 312 + 2 + 1 + 200 + 30 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13122120030093 and 13122120030102.

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, 195936055 + ... + 196003014.

It is an arithmetic number, because the mean of its divisors is an integer number (352745163000).

Almost surely, 213122120030120 is an apocalyptic number.

13122120030120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122120030120 is an abundant number, since it is smaller than the sum of its proper divisors (32029260833880).

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

13122120030120 is a wasteful number, since it uses less digits than its factorization.

13122120030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391939120 (or 391939110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13122120030120 its reverse (2103002122131), we get a palindrome (15225122152251).

The spelling of 13122120030120 in words is "thirteen trillion, one hundred twenty-two billion, one hundred twenty million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 16740 33480 391939069 783878138 1175817207 1567756276 1959695345 2351634414 3135512552 3527451621 3919390690 4703268828 5879086035 7054903242 7838781380 9406537656 10582354863 11758172070 12150111139 14109806484 15677562760 17637258105 21164709726 23516344140 24300222278 28219612968 35274516210 36450333417 42329419452 47032688280 48600444556 52911774315 60750555695 70549032420 72900666834 84658838904 97200889112 105823548630 109351000251 121501111390 141098064840 145801333668 182251667085 211647097260 218702000502 243002222780 291602667336 328053000753 364503334170 423294194520 437404001004 486004445560 546755001255 656106001506 729006668340 874808002008 1093510002510 1312212003012 1458013336680 1640265003765 2187020005020 2624424006024 3280530007530 4374040010040 6561060015060 13122120030120