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12052252717011 = 321319127147129021
BaseRepresentation
bin1010111101100010001000…
…1111011110111111010011
31120200011222012210011012200
42233120202033132333103
53034431003143421021
641344421203054243
72352514025536233
oct257304217367723
946604865704180
1012052252717011
113927371503551
121427983071383
136956a408ac50
142d949158dcc3
1515d790447126
hexaf6223defd3

12052252717011 has 96 divisors (see below), whose sum is σ = 19904281313280. Its totient is φ = 6966109382400.

The previous prime is 12052252717007. The next prime is 12052252717013. The reversal of 12052252717011 is 11071725225021.

12052252717011 is a `hidden beast` number, since 1 + 2 + 0 + 52 + 2 + 527 + 1 + 70 + 11 = 666.

It is not a de Polignac number, because 12052252717011 - 22 = 12052252717007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12052252717013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 415279681 + ... + 415308701.

It is an arithmetic number, because the mean of its divisors is an integer number (207336263680).

Almost surely, 212052252717011 is an apocalyptic number.

12052252717011 is a deficient number, since it is larger than the sum of its proper divisors (7852028596269).

12052252717011 is a wasteful number, since it uses less digits than its factorization.

12052252717011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30657 (or 30654 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 12052252717011 in words is "twelve trillion, fifty-two billion, two hundred fifty-two million, seven hundred seventeen thousand, eleven".

Divisors: 1 3 9 13 19 39 57 117 127 171 247 381 741 1143 1471 1651 2223 2413 4413 4953 7239 13239 14859 19123 21717 27949 29021 31369 57369 83847 87063 94107 172107 186817 251541 261189 282321 363337 377273 551399 560451 1090011 1131819 1654197 1681353 2428621 3270033 3395457 3549523 3685667 4962591 7168187 7285863 10648569 11057001 21504561 21857589 31945707 33171003 42689891 46143799 47913671 64513683 70027673 128069673 138431397 143741013 210083019 384209019 415294191 431223039 554968583 630249057 811107929 910359749 1664905749 2433323787 2731079247 4994717247 5421616157 7299971361 8193237741 10544403077 16264848471 31633209231 48794545413 70481010041 94899627693 103010706983 211443030123 309032120949 634329090369 927096362847 1339139190779 4017417572337 12052252717011