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122012220022002 = 23373137225925963
BaseRepresentation
bin11011101111100000101111…
…000010000101110011110010
3121000000020212101202022201000
4123233200233002011303302
5111443022011311201002
61111255350131222430
734462043361153432
oct3357405702056362
9530006771668630
10122012220022002
1135971101394432
1211826951747a16
13531091a5a029b
14221b5cc8522c2
15e18c4036561c
hex6ef82f085cf2

122012220022002 has 64 divisors (see below), whose sum is σ = 276858713324160. Its totient is φ = 39820806358272.

The previous prime is 122012220021907. The next prime is 122012220022009. The reversal of 122012220022002 is 200220022210221.

122012220022002 is a `hidden beast` number, since 1 + 220 + 1 + 2 + 220 + 0 + 220 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122012220022009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112422928 + ... + 113503035.

It is an arithmetic number, because the mean of its divisors is an integer number (4325917395690).

Almost surely, 2122012220022002 is an apocalyptic number.

122012220022002 is an abundant number, since it is smaller than the sum of its proper divisors (154846493302158).

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

122012220022002 is a wasteful number, since it uses less digits than its factorization.

122012220022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225926184 (or 225926178 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122012220022002 its reverse (200220022210221), we get a palindrome (322232242232223).

The spelling of 122012220022002 in words is "one hundred twenty-two trillion, twelve billion, two hundred twenty million, twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 27 54 73 137 146 219 274 411 438 657 822 1233 1314 1971 2466 3699 3942 7398 10001 20002 30003 60006 90009 180018 270027 540054 225925963 451851926 677777889 1355555778 2033333667 4066667334 6100001001 12200002002 16492595299 30951856931 32985190598 49477785897 61903713862 92855570793 98955571794 148433357691 185711141586 278566712379 296866715382 445300073073 557133424758 835700137137 890600146146 1671400274274 2259485555963 4518971111926 6778456667889 13556913335778 20335370003667 40670740007334 61006110011001 122012220022002