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121213132014 = 231341241157273
BaseRepresentation
bin111000011100011011…
…1011001110011101110
3102120212112220002202210
41300320313121303232
53441221030211024
6131403510031250
711520526423302
oct1607067316356
9376775802683
10121213132014
1147451720167
121b5aa048526
13b579628b70
145c1c4d3d02
153246737129
hex1c38dd9cee

121213132014 has 64 divisors (see below), whose sum is σ = 268553533248. Its totient is φ = 36235468800.

The previous prime is 121213132009. The next prime is 121213132069. The reversal of 121213132014 is 410231312121.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692082 + ... + 849354.

It is an arithmetic number, because the mean of its divisors is an integer number (4196148957).

Almost surely, 2121213132014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121213132014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134276766624).

121213132014 is an abundant number, since it is smaller than the sum of its proper divisors (147340401234).

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

121213132014 is a wasteful number, since it uses less digits than its factorization.

121213132014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157573.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 121213132014 its reverse (410231312121), we get a palindrome (531444444135).

The spelling of 121213132014 in words is "one hundred twenty-one billion, two hundred thirteen million, one hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 241 246 482 533 723 1066 1446 1599 3133 3198 6266 9399 9881 18798 19762 29643 59286 128453 157273 256906 314546 385359 471819 770718 943638 2044549 4089098 6133647 6448193 12267294 12896386 19344579 37902793 38689158 75805586 83826509 113708379 167653018 227416758 251479527 492736309 502959054 985472618 1478208927 1554014513 2956417854 3108029026 4662043539 9324087078 20202188669 40404377338 60606566007 121213132014