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122120000000200 = 23522353500902379
BaseRepresentation
bin11011110001000101000111…
…001110000101000011001000
3121000101120001202210111200101
4123301011013032011003020
5112001303230000001300
61111421053054215144
734502610304645216
oct3361050716050310
9530346052714611
10122120000000200
1135a0288a37a284
1211843810ab44b4
13531ab35b78507
1422228d4c65cb6
15e1b94c5d8b6a
hex6f11473850c8

122120000000200 has 96 divisors (see below), whose sum is σ = 301863810283200. Its totient is φ = 45842585634560.

The previous prime is 122120000000087. The next prime is 122120000000203. The reversal of 122120000000200 is 2000000021221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (122120000000203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250207390 + ... + 250694989.

It is an arithmetic number, because the mean of its divisors is an integer number (3144414690450).

Almost surely, 2122120000000200 is an apocalyptic number.

122120000000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120000000200 is an abundant number, since it is smaller than the sum of its proper divisors (179743810283000).

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

122120000000200 is a wasteful number, since it uses less digits than its factorization.

122120000000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500902471 (or 500902462 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 122120000000200 its reverse (2000000021221), we get a palindrome (124120000021421).

It can be divided in two parts, 12 and 2120000000200, that added together give a palindrome (2120000000212).

The spelling of 122120000000200 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 53 92 100 106 115 184 200 212 230 265 424 460 530 575 920 1060 1150 1219 1325 2120 2300 2438 2650 4600 4876 5300 6095 9752 10600 12190 24380 30475 48760 60950 121900 243800 500902379 1001804758 2003609516 2504511895 4007219032 5009023790 10018047580 11520754717 12522559475 20036095160 23041509434 25045118950 26547826087 46083018868 50090237900 53095652174 57603773585 92166037736 100180475800 106191304348 115207547170 132739130435 212382608696 230415094340 265478260870 288018867925 460830188680 530956521740 576037735850 610600000001 663695652175 1061913043480 1152075471700 1221200000002 1327391304350 2304150943400 2442400000004 2654782608700 3053000000005 4884800000008 5309565217400 6106000000010 12212000000020 15265000000025 24424000000040 30530000000050 61060000000100 122120000000200