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121909140 = 223253791787
BaseRepresentation
bin1110100010000…
…10111110010100
322111101121220100
413101002332110
5222202043030
620032534100
73010132143
oct721027624
9274347810
10121909140
11628a6161
12349b1330
131c344bb2
141229575a
15aa81360
hex7442f94

121909140 has 72 divisors (see below), whose sum is σ = 370974240. Its totient is φ = 32405184.

The previous prime is 121909133. The next prime is 121909147. The reversal of 121909140 is 41909121.

It is an interprime number because it is at equal distance from previous prime (121909133) and next prime (121909147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121909147) 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 23 ways as a sum of consecutive naturals, for example, 67327 + ... + 69113.

It is an arithmetic number, because the mean of its divisors is an integer number (5152420).

Almost surely, 2121909140 is an apocalyptic number.

121909140 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 121909140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185487120).

121909140 is an abundant number, since it is smaller than the sum of its proper divisors (249065100).

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

121909140 is a wasteful number, since it uses less digits than its factorization.

121909140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 121909140 is about 11041.2472121586. The cubic root of 121909140 is about 495.8444111798.

The spelling of 121909140 in words is "one hundred twenty-one million, nine hundred nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 379 758 1137 1516 1787 1895 2274 3411 3574 3790 4548 5361 5685 6822 7148 7580 8935 10722 11370 13644 16083 17055 17870 21444 22740 26805 32166 34110 35740 53610 64332 68220 80415 107220 160830 321660 677273 1354546 2031819 2709092 3386365 4063638 6095457 6772730 8127276 10159095 12190914 13545460 20318190 24381828 30477285 40636380 60954570 121909140