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20410212120 = 23351998291031
BaseRepresentation
bin10011000000100010…
…110001111100011000
31221200102102012111020
4103000202301330120
5313300003241440
613213141402440
71321532640414
oct230042617430
957612365436
1020410212120
11872403a501
123b57409420
131c036834bc
14db8987d44
157e6c9a3d0
hex4c08b1f18

20410212120 has 128 divisors (see below), whose sum is σ = 61672320000. Its totient is φ = 5403594240.

The previous prime is 20410212089. The next prime is 20410212133. The reversal of 20410212120 is 2121201402.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20410212120.

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, 19796005 + ... + 19797035.

It is an arithmetic number, because the mean of its divisors is an integer number (481815000).

Almost surely, 220410212120 is an apocalyptic number.

20410212120 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 20410212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30836160000).

20410212120 is an abundant number, since it is smaller than the sum of its proper divisors (41262107880).

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

20410212120 is a wasteful number, since it uses less digits than its factorization.

20410212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2069 counting only the distinct ones).

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

Adding to 20410212120 its reverse (2121201402), we get a palindrome (22531413522).

The spelling of 20410212120 in words is "twenty billion, four hundred ten million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 597 796 829 995 1031 1194 1592 1658 1990 2062 2388 2487 2985 3093 3316 3980 4124 4145 4776 4974 5155 5970 6186 6632 7960 8248 8290 9948 10310 11940 12372 12435 15465 16580 19896 20620 23880 24744 24870 30930 33160 41240 49740 61860 99480 123720 164971 205169 329942 410338 494913 615507 659884 820676 824855 854699 989826 1025845 1231014 1319768 1641352 1649710 1709398 1979652 2051690 2462028 2474565 2564097 3077535 3299420 3418796 3959304 4103380 4273495 4924056 4949130 5128194 6155070 6598840 6837592 8206760 8546990 9898260 10256388 12310140 12820485 17093980 19796520 20512776 24620280 25640970 34187960 51281940 102563880 170085101 340170202 510255303 680340404 850425505 1020510606 1360680808 1700851010 2041021212 2551276515 3401702020 4082042424 5102553030 6803404040 10205106060 20410212120