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12145520000 = 2754157967
BaseRepresentation
bin10110100111110110…
…11110110110000000
31011100102221100021002
423103323132312000
5144333223120000
65325104351132
7606656134205
oct132373366600
934312840232
1012145520000
115172913a39
12242b6154a8
1311b7355533
1483309bcac
154b14178d5
hex2d3eded80

12145520000 has 160 divisors (see below), whose sum is σ = 30459562320. Its totient is φ = 4822272000.

The previous prime is 12145519999. The next prime is 12145520003. The reversal of 12145520000 is 2554121.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12145520003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 12559517 + ... + 12560483.

Almost surely, 212145520000 is an apocalyptic number.

12145520000 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 12145520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15229781160).

12145520000 is an abundant number, since it is smaller than the sum of its proper divisors (18314042320).

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

12145520000 is an frugal number, since it uses more digits than its factorization.

12145520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 12145520000 in words is "twelve billion, one hundred forty-five million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 157 160 200 250 314 320 400 500 625 628 640 785 800 967 1000 1250 1256 1570 1600 1934 2000 2500 2512 3140 3200 3868 3925 4000 4835 5000 5024 6280 7736 7850 8000 9670 10000 10048 12560 15472 15700 16000 19340 19625 20000 20096 24175 25120 30944 31400 38680 39250 40000 48350 50240 61888 62800 77360 78500 80000 96700 98125 100480 120875 123776 125600 151819 154720 157000 193400 196250 241750 251200 303638 309440 314000 386800 392500 483500 502400 604375 607276 618880 628000 759095 773600 785000 967000 1208750 1214552 1256000 1518190 1547200 1570000 1934000 2417500 2429104 2512000 3036380 3094400 3140000 3795475 3868000 4835000 4858208 6072760 6280000 7590950 7736000 9670000 9716416 12145520 12560000 15181900 15472000 18977375 19340000 19432832 24291040 30363800 37954750 38680000 48582080 60727600 75909500 77360000 94886875 97164160 121455200 151819000 189773750 242910400 303638000 379547500 485820800 607276000 759095000 1214552000 1518190000 2429104000 3036380000 6072760000 12145520000