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120102012240 = 24357233306821
BaseRepresentation
bin110111111011010100…
…0110100010101010000
3102111000010010100222120
41233312220310111100
53431432103342430
6131101334534240
711451145155120
oct1576650642520
9374003110876
10120102012240
1146a31500461
121b339b07380
13b430383a42
145b54adcc80
1531cde06610
hex1bf6a34550

120102012240 has 160 divisors (see below), whose sum is σ = 427331863296. Its totient is φ = 27333980160.

The previous prime is 120102012161. The next prime is 120102012269. The reversal of 120102012240 is 42210201021.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 238030 + ... + 544850.

Almost surely, 2120102012240 is an apocalyptic number.

120102012240 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 120102012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213665931648).

120102012240 is an abundant number, since it is smaller than the sum of its proper divisors (307229851056).

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

120102012240 is a wasteful number, since it uses less digits than its factorization.

120102012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307077 (or 307071 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120102012240 its reverse (42210201021), we get a palindrome (162312213261).

The spelling of 120102012240 in words is "one hundred twenty billion, one hundred two million, twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 233 240 280 336 420 466 560 699 840 932 1165 1398 1631 1680 1864 2330 2796 3262 3495 3728 4660 4893 5592 6524 6990 8155 9320 9786 11184 13048 13980 16310 18640 19572 24465 26096 27960 32620 39144 48930 55920 65240 78288 97860 130480 195720 306821 391440 613642 920463 1227284 1534105 1840926 2147747 2454568 3068210 3681852 4295494 4602315 4909136 6136420 6443241 7363704 8590988 9204630 10738735 12272840 12886482 14727408 17181976 18409260 21477470 24545680 25772964 32216205 34363952 36818520 42954940 51545928 64432410 71489293 73637040 85909880 103091856 128864820 142978586 171819760 214467879 257729640 285957172 357446465 428935758 500425051 515459280 571914344 714892930 857871516 1000850102 1072339395 1143828688 1429785860 1501275153 1715743032 2001700204 2144678790 2502125255 2859571720 3002550306 3431486064 4003400408 4289357580 5004250510 5719143440 6005100612 7506375765 8006800816 8578715160 10008501020 12010201224 15012751530 17157430320 20017002040 24020402448 30025503060 40034004080 60051006120 120102012240