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121595136 = 2831319641
BaseRepresentation
bin1110011111101…
…10010100000000
322110210200011120
413033312110000
5222112021021
620022112240
73004353525
oct717662400
9273720146
10121595136
1162701253
123487b680
131c264cb0
141221314c
15aa1d2c6
hex73f6500

121595136 has 144 divisors (see below), whose sum is σ = 367429440. Its totient is φ = 35389440.

The previous prime is 121595129. The next prime is 121595137. The reversal of 121595136 is 631595121.

It is a junction number, because it is equal to n+sod(n) for n = 121595097 and 121595106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121595137) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 189376 + ... + 190016.

Almost surely, 2121595136 is an apocalyptic number.

121595136 is a gapful number since it is divisible by the number (16) 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 121595136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183714720).

121595136 is an abundant number, since it is smaller than the sum of its proper divisors (245834304).

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

121595136 is a wasteful number, since it uses less digits than its factorization.

121595136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 678 counting only the distinct ones).

The product of its digits is 8100, while the sum is 33.

The square root of 121595136 is about 11027.0184546867. The cubic root of 121595136 is about 495.4183260982.

The spelling of 121595136 in words is "one hundred twenty-one million, five hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 256 304 312 384 416 456 494 608 624 641 741 768 832 912 988 1216 1248 1282 1482 1664 1824 1923 1976 2432 2496 2564 2964 3328 3648 3846 3952 4864 4992 5128 5928 7296 7692 7904 8333 9984 10256 11856 12179 14592 15384 15808 16666 20512 23712 24358 24999 30768 31616 33332 36537 41024 47424 48716 49998 61536 63232 66664 73074 82048 94848 97432 99996 123072 133328 146148 158327 164096 189696 194864 199992 246144 266656 292296 316654 389728 399984 474981 492288 533312 584592 633308 779456 799968 949962 1066624 1169184 1266616 1558912 1599936 1899924 2133248 2338368 2533232 3117824 3199872 3799848 4676736 5066464 6399744 7599696 9353472 10132928 15199392 20265856 30398784 40531712 60797568 121595136