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121252160 = 2651731719
BaseRepresentation
bin1110011101000…
…10100101000000
322110011020200202
413032202211000
5222020032120
620010504332
73001424561
oct716424500
9273136622
10121252160
11624975a7
12347350a8
131c174b53
1412164168
15a9a1875
hex73a2940

121252160 has 112 divisors (see below), whose sum is σ = 316016640. Its totient is φ = 44113920.

The previous prime is 121252147. The next prime is 121252163. The reversal of 121252160 is 61252121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121252163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168281 + ... + 168999.

Almost surely, 2121252160 is an apocalyptic number.

121252160 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 121252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158008320).

121252160 is an abundant number, since it is smaller than the sum of its proper divisors (194764480).

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

121252160 is a wasteful number, since it uses less digits than its factorization.

121252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 121252160 is about 11011.4558528834. The cubic root of 121252160 is about 494.9520886866.

The spelling of 121252160 in words is "one hundred twenty-one million, two hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 62 64 68 80 85 124 136 155 160 170 248 272 310 320 340 496 527 544 620 680 719 992 1054 1088 1240 1360 1438 1984 2108 2480 2635 2720 2876 3595 4216 4960 5270 5440 5752 7190 8432 9920 10540 11504 12223 14380 16864 21080 22289 23008 24446 28760 33728 42160 44578 46016 48892 57520 61115 84320 89156 97784 111445 115040 122230 168640 178312 195568 222890 230080 244460 356624 378913 391136 445780 488920 713248 757826 782272 891560 977840 1426496 1515652 1783120 1894565 1955680 3031304 3566240 3789130 3911360 6062608 7132480 7578260 12125216 15156520 24250432 30313040 60626080 121252160