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20120430012240 = 24352310093612493
BaseRepresentation
bin1001001001100101001110…
…00101010110011101010000
32122020111100100210000001110
410210302213011112131100
510114123120040342430
6110443110431133320
74144440004155165
oct444624705263520
978214310700043
1020120430012240
116458032226778
12230b583374240
13b2c46b5ba0cc
144d7b9673c06c
1524d5a297c7b0
hex124ca7156750

20120430012240 has 160 divisors (see below), whose sum is σ = 65149739792640. Its totient is φ = 5127079845888.

The previous prime is 20120430012233. The next prime is 20120430012283. The reversal of 20120430012240 is 4221003402102.

It is a congruent number.

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, 3763434 + ... + 7375926.

It is an arithmetic number, because the mean of its divisors is an integer number (407185873704).

Almost surely, 220120430012240 is an apocalyptic number.

20120430012240 is a gapful number since it is divisible by the number (20) 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 20120430012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32574869896320).

20120430012240 is an abundant number, since it is smaller than the sum of its proper divisors (45029309780400).

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

20120430012240 is a wasteful number, since it uses less digits than its factorization.

20120430012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613541 (or 3613535 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20120430012240 its reverse (4221003402102), we get a palindrome (24341433414342).

The spelling of 20120430012240 in words is "twenty trillion, one hundred twenty billion, four hundred thirty million, twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1009 1104 1380 1840 2018 2760 3027 4036 5045 5520 6054 8072 10090 12108 15135 16144 20180 23207 24216 30270 40360 46414 48432 60540 69621 80720 92828 116035 121080 139242 185656 232070 242160 278484 348105 371312 464140 556968 696210 928280 1113936 1392420 1856560 2784840 3612493 5569680 7224986 10837479 14449972 18062465 21674958 28899944 36124930 43349916 54187395 57799888 72249860 83087339 86699832 108374790 144499720 166174678 173399664 216749580 249262017 288999440 332349356 415436695 433499160 498524034 664698712 830873390 866998320 997048068 1246310085 1329397424 1661746780 1994096136 2492620170 3323493560 3645005437 3988192272 4985240340 6646987120 7290010874 9970480680 10935016311 14580021748 18225027185 19940961360 21870032622 29160043496 36450054370 43740065244 54675081555 58320086992 72900108740 83835125051 87480130488 109350163110 145800217480 167670250102 174960260976 218700326220 251505375153 291600434960 335340500204 419175625255 437400652440 503010750306 670681000408 838351250510 874801304880 1006021500612 1257526875765 1341362000816 1676702501020 2012043001224 2515053751530 3353405002040 4024086002448 5030107503060 6706810004080 10060215006120 20120430012240