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122012201000 = 2353532302117
BaseRepresentation
bin111000110100001111…
…1100111000000101000
3102122221020111000100102
41301220133213000220
53444340110413000
6132015052524532
711546401411424
oct1615037470050
9378836430312
10122012201000
1147821785558
121b791780748
13b676044051
145c96699b84
1532919783d5
hex1c687e7028

122012201000 has 64 divisors (see below), whose sum is σ = 290895630480. Its totient is φ = 47884012800.

The previous prime is 122012200997. The next prime is 122012201099. The reversal of 122012201000 is 102210221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9066467524 + 112945733476 = 95218^2 + 336074^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1098059 + ... + 1204058.

Almost surely, 2122012201000 is an apocalyptic number.

122012201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122012201000 is an abundant number, since it is smaller than the sum of its proper divisors (168883429480).

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

122012201000 is a wasteful number, since it uses less digits than its factorization.

122012201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302191 (or 2302177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122012201000 its reverse (102210221), we get a palindrome (122114411221).

The spelling of 122012201000 in words is "one hundred twenty-two billion, twelve million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 1000 1060 1325 2120 2650 5300 6625 10600 13250 26500 53000 2302117 4604234 9208468 11510585 18416936 23021170 46042340 57552925 92084680 115105850 122012201 230211700 244024402 287764625 460423400 488048804 575529250 610061005 976097608 1151058500 1220122010 2302117000 2440244020 3050305025 4880488040 6100610050 12201220100 15251525125 24402440200 30503050250 61006100500 122012201000