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121312202040 = 23335313623423
BaseRepresentation
bin111000011111011000…
…1010100110100111000
3102121010110022101022000
41300332301110310320
53441421410431130
6131421405301000
711523141463221
oct1607661246470
9377113271260
10121312202040
11474a2636a17
121b617264760
13b594005293
145c2b722248
1532502a6260
hex1c3ec54d38

121312202040 has 128 divisors (see below), whose sum is σ = 417418444800. Its totient is φ = 31306366080.

The previous prime is 121312202017. The next prime is 121312202083. The reversal of 121312202040 is 40202213121.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1778232 + ... + 1845191.

It is an arithmetic number, because the mean of its divisors is an integer number (3261081600).

Almost surely, 2121312202040 is an apocalyptic number.

121312202040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121312202040 is an abundant number, since it is smaller than the sum of its proper divisors (296106242760).

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

121312202040 is a wasteful number, since it uses less digits than its factorization.

121312202040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623474 (or 3623464 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 121312202040 its reverse (40202213121), we get a palindrome (161514415161).

The spelling of 121312202040 in words is "one hundred twenty-one billion, three hundred twelve million, two hundred two thousand, forty".

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 3623423 7246846 10870269 14493692 18117115 21740538 28987384 32610807 36234230 43481076 54351345 65221614 72468460 86962152 97832421 108702690 112326113 130443228 144936920 163054035 195664842 217405380 224652226 260886456 326108070 336978339 391329684 434810760 449304452 489162105 561630565 652216140 673956678 782659368 898608904 978324210 1010935017 1123261130 1304432280 1347913356 1684891695 1956648420 2021870034 2246522260 2695826712 3032805051 3369783390 3913296840 4043740068 4493044520 5054675085 6065610102 6739566780 8087480136 10109350170 12131220204 13479133560 15164025255 20218700340 24262440408 30328050510 40437400680 60656101020 121312202040