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12022135000 = 23545983491
BaseRepresentation
bin10110011001001001…
…10011100011011000
31011000211202201212021
423030210303203120
5144110131310000
65304540024224
7603630314161
oct131444634330
934024681767
1012022135000
11510a1aaa67
1223b6232074
131197914965
14820940768
154a569411a
hex2cc9338d8

12022135000 has 160 divisors (see below), whose sum is σ = 29049451200. Its totient is φ = 4660880000.

The previous prime is 12022134997. The next prime is 12022135003. The reversal of 12022135000 is 53122021.

It is an interprime number because it is at equal distance from previous prime (12022134997) and next prime (12022135003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022135003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24484755 + ... + 24485245.

It is an arithmetic number, because the mean of its divisors is an integer number (181559070).

Almost surely, 212022135000 is an apocalyptic number.

12022135000 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 12022135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14524725600).

12022135000 is an abundant number, since it is smaller than the sum of its proper divisors (17027316200).

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

12022135000 is an equidigital number, since it uses as much as digits as its factorization.

12022135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 12022135000 its reverse (53122021), we get a palindrome (12075257021).

The spelling of 12022135000 in words is "twelve billion, twenty-two million, one hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 83 100 118 125 166 200 236 250 295 332 415 472 491 500 590 625 664 830 982 1000 1180 1250 1475 1660 1964 2075 2360 2455 2500 2950 3320 3928 4150 4897 4910 5000 5900 7375 8300 9794 9820 10375 11800 12275 14750 16600 19588 19640 20750 24485 24550 28969 29500 36875 39176 40753 41500 48970 49100 51875 57938 59000 61375 73750 81506 83000 97940 98200 103750 115876 122425 122750 144845 147500 163012 195880 203765 207500 231752 244850 245500 289690 295000 306875 326024 407530 415000 489700 491000 579380 612125 613750 724225 815060 979400 1018825 1158760 1224250 1227500 1448450 1630120 2037650 2404427 2448500 2455000 2896900 3060625 3621125 4075300 4808854 4897000 5094125 5793800 6121250 7242250 8150600 9617708 10188250 12022135 12242500 14484500 18105625 19235416 20376500 24044270 24485000 25470625 28969000 36211250 40753000 48088540 50941250 60110675 72422500 96177080 101882500 120221350 144845000 203765000 240442700 300553375 480885400 601106750 1202213500 1502766875 2404427000 3005533750 6011067500 12022135000