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121142670 = 23511191392
BaseRepresentation
bin1110011100001…
…11110110001110
322102221200111120
413032013312032
5222003031140
620004301410
73000460425
oct716076616
9272850446
10121142670
1162422310
12346a1866
131c13706c
14121362bc
15a97e1d0
hex7387d8e

121142670 has 96 divisors (see below), whose sum is σ = 336286080. Its totient is φ = 27622080.

The previous prime is 121142627. The next prime is 121142677. The reversal of 121142670 is 76241121.

It is a super-3 number, since 3×1211426703 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121142670.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121142677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 871461 + ... + 871599.

It is an arithmetic number, because the mean of its divisors is an integer number (3502980).

Almost surely, 2121142670 is an apocalyptic number.

121142670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121142670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168143040).

121142670 is an abundant number, since it is smaller than the sum of its proper divisors (215143410).

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

121142670 is a wasteful number, since it uses less digits than its factorization.

121142670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 121142670 is about 11006.4830895250. The cubic root of 121142670 is about 494.8030641959.

Adding to 121142670 its reverse (76241121), we get a palindrome (197383791).

The spelling of 121142670 in words is "one hundred twenty-one million, one hundred forty-two thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 139 165 190 209 278 285 330 417 418 570 627 695 834 1045 1254 1390 1529 2085 2090 2641 3058 3135 4170 4587 5282 6270 7645 7923 9174 13205 15290 15846 19321 22935 26410 29051 38642 39615 45870 57963 58102 79230 87153 96605 115926 145255 174306 193210 212531 289815 290510 367099 425062 435765 579630 637593 734198 871530 1062655 1101297 1275186 1835495 2125310 2202594 3187965 3670990 4038089 5506485 6375930 8076178 11012970 12114267 20190445 24228534 40380890 60571335 121142670