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122012333102133 = 3331785916595393
BaseRepresentation
bin11011101111100000110101…
…110001011101010000110101
3121000000021011021112101111000
4123233200311301131100311
5111443022224233232013
61111255405251033513
734462046233264215
oct3357406561352065
9530007137471430
10122012333102133
113597115a1aa191
121182698359b899
135310937b435c6
14221b5dd88a245
15e18c4a250973
hex6ef835c5d435

122012333102133 has 32 divisors (see below), whose sum is σ = 181540334044800. Its totient is φ = 80990557959168.

The previous prime is 122012333102111. The next prime is 122012333102173. The reversal of 122012333102133 is 331201333210221.

122012333102133 is a `hidden beast` number, since 1 + 2 + 201 + 233 + 3 + 10 + 213 + 3 = 666.

It is not a de Polignac number, because 122012333102133 - 29 = 122012333101621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122012333102097 and 122012333102106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122012333102173) 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, 945516 + ... + 15649877.

It is an arithmetic number, because the mean of its divisors is an integer number (5673135438900).

Almost surely, 2122012333102133 is an apocalyptic number.

It is an amenable number.

122012333102133 is a deficient number, since it is larger than the sum of its proper divisors (59528000942667).

122012333102133 is a wasteful number, since it uses less digits than its factorization.

122012333102133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16596578 (or 16596572 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 122012333102133 its reverse (331201333210221), we get a palindrome (453213666312354).

The spelling of 122012333102133 in words is "one hundred twenty-two trillion, twelve billion, three hundred thirty-three million, one hundred two thousand, one hundred thirty-three".

Divisors: 1 3 9 27 317 859 951 2577 2853 7731 8559 23193 272303 816909 2450727 7352181 16595393 49786179 149358537 448075611 5260739581 14255442587 15782218743 42766327761 47346656229 128298983283 142039968687 384896949849 4518975300079 13556925900237 40670777700711 122012333102133