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132404012004121 = 1113291271492417001
BaseRepresentation
bin11110000110101110110110…
…000110100011001100011001
3122100210200220020201102201221
4132012232312012203030121
5114323301404033112441
61145333321410212041
736613605563451544
oct3606566606431431
9570720806642657
10132404012004121
11392082540134a0
1212a2494b884021
1358b584c6c0110
14249a5619ab85b
1510491eb2b68d1
hex786bb61a3319

132404012004121 has 128 divisors (see below), whose sum is σ = 163971827712000. Its totient is φ = 105264230400000.

The previous prime is 132404012004083. The next prime is 132404012004133. The reversal of 132404012004121 is 121400210404231.

It is a cyclic number.

It is not a de Polignac number, because 132404012004121 - 27 = 132404012003993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132404012004181) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18912153621 + ... + 18912160621.

It is an arithmetic number, because the mean of its divisors is an integer number (1281029904000).

Almost surely, 2132404012004121 is an apocalyptic number.

132404012004121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132404012004121 is a deficient number, since it is larger than the sum of its proper divisors (31567815707879).

132404012004121 is a wasteful number, since it uses less digits than its factorization.

132404012004121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7571.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 132404012004121 its reverse (121400210404231), we get a palindrome (253804222408352).

The spelling of 132404012004121 in words is "one hundred thirty-two trillion, four hundred four billion, twelve million, four thousand, one hundred twenty-one".

Divisors: 1 11 13 29 127 143 149 241 319 377 1397 1639 1651 1937 2651 3133 3683 4147 4321 6989 7001 18161 18923 21307 30607 34463 35909 40513 47531 47879 56173 76879 77011 90857 91013 203029 208153 245999 336677 394999 397891 466817 526669 548767 617903 887603 889127 999427 1001143 1041361 1043149 1687241 2233319 2639377 2705989 4376801 4560443 5134987 6036437 7133971 9763633 9780397 11454971 11474639 11538839 11558651 13537693 13560937 18559651 21934133 25784683 29033147 30251321 48929989 50164873 59285759 78473681 126927229 127145161 132252847 132479923 148914623 149170307 214279607 241275463 251398909 283631513 332764531 335200879 393267173 538229879 636089857 652143349 1454781317 1457279153 1719287011 1722238999 2357075677 2765387999 2785634891 3268185817 3687209669 3841917767 4325938903 6214108603 6996988427 7290568361 18912157121 18944628989 30641983801 31927661443 35950043987 42261095437 49944930971 68355194633 80196251971 80783411839 94777388693 351204275873 415059598759 549394240681 888617530229 925902181847 1042551275623 4565655586349 10184924000317 12036728364011 132404012004121