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121011120096 = 2533049741333
BaseRepresentation
bin111000010110011010…
…0110010011111100000
3102120100110202211111220
41300230310302133200
53440312321320341
6131331452135040
711512524356256
oct1605464623740
9376313684456
10121011120096
1147358693669
121b552467480
13b546818b99
145bdd74a5d6
153233b31a66
hex1c2cd327e0

121011120096 has 48 divisors (see below), whose sum is σ = 317672291664. Its totient is φ = 40334741504.

The previous prime is 121011120091. The next prime is 121011120143. The reversal of 121011120096 is 690021110121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121011120091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2907046 + ... + 2948378.

It is an arithmetic number, because the mean of its divisors is an integer number (6618172743).

Almost surely, 2121011120096 is an apocalyptic number.

121011120096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121011120096 is an abundant number, since it is smaller than the sum of its proper divisors (196661171568).

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

121011120096 is a wasteful number, since it uses less digits than its factorization.

121011120096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71843 (or 71835 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

The spelling of 121011120096 in words is "one hundred twenty-one billion, eleven million, one hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 30497 41333 60994 82666 91491 121988 123999 165332 182982 243976 247998 330664 365964 487952 495996 661328 731928 975904 991992 1322656 1463856 1983984 2927712 3967968 1260532501 2521065002 3781597503 5042130004 7563195006 10084260008 15126390012 20168520016 30252780024 40337040032 60505560048 121011120096