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121960128 = 2637972
BaseRepresentation
bin1110100010011…
…11011011000000
322111111012211210
413101033123000
5222210211003
620034010120
73010433613
oct721173300
9274435753
10121960128
11629304a4
1234a16940
131c362174
14122aa17a
15aa91503
hex744f6c0

121960128 has 42 divisors (see below), whose sum is σ = 323091556. Its totient is φ = 40602368.

The previous prime is 121960127. The next prime is 121960141. The reversal of 121960128 is 821069121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121960095 and 121960104.

It is not an unprimeable number, because it can be changed into a prime (121960123) 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 5 ways as a sum of consecutive naturals, for example, 152626 + ... + 153422.

Almost surely, 2121960128 is an apocalyptic number.

It is an amenable number.

121960128 is an abundant number, since it is smaller than the sum of its proper divisors (201131428).

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

121960128 is an frugal number, since it uses more digits than its factorization.

121960128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 121960128 is about 11043.5559490592. Note that the first 3 decimals coincide. The cubic root of 121960128 is about 495.9135298446.

Multiplying 121960128 by its product of nonzero digits (1728), we get a square (210747101184 = 4590722).

The spelling of 121960128 in words is "one hundred twenty-one million, nine hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 797 1594 2391 3188 4782 6376 9564 12752 19128 25504 38256 51008 76512 153024 635209 1270418 1905627 2540836 3811254 5081672 7622508 10163344 15245016 20326688 30490032 40653376 60980064 121960128