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121213140 = 22355997353
BaseRepresentation
bin1110011100110…
…01000011010100
322110002021011120
413032121003110
5222012310030
620010003540
73001203036
oct716310324
9273067146
10121213140
1162470254
12347165b0
131c160169
1412153c56
15a995010
hex73990d4

121213140 has 96 divisors (see below), whose sum is σ = 349695360. Its totient is φ = 31358976.

The previous prime is 121213129. The next prime is 121213163. The reversal of 121213140 is 41312121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343204 + ... + 343556.

It is an arithmetic number, because the mean of its divisors is an integer number (3642660).

Almost surely, 2121213140 is an apocalyptic number.

121213140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121213140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174847680).

121213140 is an abundant number, since it is smaller than the sum of its proper divisors (228482220).

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

121213140 is a wasteful number, since it uses less digits than its factorization.

121213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 121213140 is about 11009.6839191686. The cubic root of 121213140 is about 494.8989896942.

Adding to 121213140 its reverse (41312121), we get a palindrome (162525261).

The spelling of 121213140 in words is "one hundred twenty-one million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 97 118 177 194 236 291 295 353 354 388 485 582 590 706 708 885 970 1059 1164 1180 1412 1455 1765 1770 1940 2118 2910 3530 3540 4236 5295 5723 5820 7060 10590 11446 17169 20827 21180 22892 28615 34241 34338 41654 57230 62481 68482 68676 83308 85845 102723 104135 114460 124962 136964 171205 171690 205446 208270 249924 312405 342410 343380 410892 416540 513615 624810 684820 1027230 1249620 2020219 2054460 4040438 6060657 8080876 10101095 12121314 20202190 24242628 30303285 40404380 60606570 121213140