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1211230134144 = 27323832745209
BaseRepresentation
bin10001101000000010111…
…100010001111110000000
311021210101201012000220200
4101220002330101332000
5124321044403243034
62324233105205200
7153336261160632
oct21500274217600
94253351160820
101211230134144
1142775291a098
121768b2630800
138a2ac0ba6b4
14428a3bc2a52
1521790a87a99
hex11a02f11f80

1211230134144 has 96 divisors (see below), whose sum is σ = 3494542521600. Its totient is φ = 402689071104.

The previous prime is 1211230134137. The next prime is 1211230134173. The reversal of 1211230134144 is 4414310321121.

It is a happy number.

1211230134144 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 230 + 13 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12112301341442 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 931389 + ... + 1813820.

It is an arithmetic number, because the mean of its divisors is an integer number (36401484600).

Almost surely, 21211230134144 is an apocalyptic number.

It is an amenable number.

1211230134144 is an abundant number, since it is smaller than the sum of its proper divisors (2283312387456).

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

1211230134144 is a wasteful number, since it uses less digits than its factorization.

1211230134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745612 (or 2745597 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1211230134144 its reverse (4414310321121), we get a palindrome (5625540455265).

The spelling of 1211230134144 in words is "one trillion, two hundred eleven billion, two hundred thirty million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 383 384 576 766 1149 1152 1532 2298 3064 3447 4596 6128 6894 9192 12256 13788 18384 24512 27576 36768 49024 55152 73536 110304 147072 220608 441216 2745209 5490418 8235627 10980836 16471254 21961672 24706881 32942508 43923344 49413762 65885016 87846688 98827524 131770032 175693376 197655048 263540064 351386752 395310096 527080128 790620192 1051415047 1054160256 1581240384 2102830094 3154245141 3162480768 4205660188 6308490282 8411320376 9462735423 12616980564 16822640752 18925470846 25233961128 33645281504 37850941692 50467922256 67290563008 75701883384 100935844512 134581126016 151403766768 201871689024 302807533536 403743378048 605615067072 1211230134144