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121989132 = 22337315473
BaseRepresentation
bin1110100010101…
…10100000001100
322111112200122000
413101112200030
5222212123012
620034352300
73010614306
oct721264014
9274480560
10121989132
1162950271
1234a2b690
131c372425
14122b6976
15aa99ddc
hex745680c

121989132 has 48 divisors (see below), whose sum is σ = 320621280. Its totient is φ = 40103424.

The previous prime is 121989121. The next prime is 121989143. The reversal of 121989132 is 231989121.

It is an interprime number because it is at equal distance from previous prime (121989121) and next prime (121989143).

It is a super-2 number, since 2×1219891322 = 29762696652226848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 148 + ... + 15620.

It is an arithmetic number, because the mean of its divisors is an integer number (6679610).

Almost surely, 2121989132 is an apocalyptic number.

121989132 is a gapful number since it is divisible by the number (12) 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 121989132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160310640).

121989132 is an abundant number, since it is smaller than the sum of its proper divisors (198632148).

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

121989132 is a wasteful number, since it uses less digits than its factorization.

121989132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15559 (or 15551 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 121989132 is about 11044.8690349863. The cubic root of 121989132 is about 495.9528386914.

The spelling of 121989132 in words is "one hundred twenty-one million, nine hundred eighty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1971 2628 3942 7884 15473 30946 46419 61892 92838 139257 185676 278514 417771 557028 835542 1129529 1671084 2259058 3388587 4518116 6777174 10165761 13554348 20331522 30497283 40663044 60994566 121989132