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122313215512040 = 23571771361916249
BaseRepresentation
bin11011110011111001000011…
…110000110000110111101000
3121001002000210021212111001112
4123303321003300300313220
5112012434431132341130
61112045525425205452
734522560334464320
oct3363710360606750
9531060707774045
10122313215512040
1135a7781a504073
1211875154490888
13533311871a347
14222bdc3c8a280
15e219aa114495
hex6f3e43c30de8

122313215512040 has 128 divisors (see below), whose sum is σ = 337711291200000. Its totient is φ = 38913234984960.

The previous prime is 122313215512031. The next prime is 122313215512049. The reversal of 122313215512040 is 40215512313221.

It is an interprime number because it is at equal distance from previous prime (122313215512031) and next prime (122313215512049).

It is a junction number, because it is equal to n+sod(n) for n = 122313215511988 and 122313215512006.

It is not an unprimeable number, because it can be changed into a prime (122313215512049) 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, 180620165 + ... + 181296084.

It is an arithmetic number, because the mean of its divisors is an integer number (2638369462500).

Almost surely, 2122313215512040 is an apocalyptic number.

122313215512040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122313215512040 is an abundant number, since it is smaller than the sum of its proper divisors (215398075687960).

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

122313215512040 is a wasteful number, since it uses less digits than its factorization.

122313215512040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361916355 (or 361916351 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 122313215512040 its reverse (40215512313221), we get a palindrome (162528727825261).

The spelling of 122313215512040 in words is "one hundred twenty-two trillion, three hundred thirteen billion, two hundred fifteen million, five hundred twelve thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 71 85 119 136 140 142 170 238 280 284 340 355 476 497 568 595 680 710 952 994 1190 1207 1420 1988 2380 2414 2485 2840 3976 4760 4828 4970 6035 8449 9656 9940 12070 16898 19880 24140 33796 42245 48280 67592 84490 168980 337960 361916249 723832498 1447664996 1809581245 2533413743 2895329992 3619162490 5066827486 6152576233 7238324980 10133654972 12305152466 12667068715 14476649960 20267309944 24610304932 25334137430 25696053679 30762881165 43068033631 49220609864 50668274860 51392107358 61525762330 86136067262 101336549720 102784214716 123051524660 128480268395 172272134524 179872375753 205568429432 215340168155 246103049320 256960536790 344544269048 359744751506 430680336310 436832912543 513921073580 719489503012 861360672620 873665825086 899361878765 1027842147160 1438979006024 1722721345240 1747331650172 1798723757530 2184164562715 3057830387801 3494663300344 3597447515060 4368329125430 6115660775602 7194895030120 8736658250860 12231321551204 15289151939005 17473316501720 24462643102408 30578303878010 61156607756020 122313215512040