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120121480 = 23529103553
BaseRepresentation
bin1110010100011…
…10100010001000
322101000210200201
413022032202020
5221222341410
615530341544
72656005253
oct712164210
9271023621
10120121480
1161895056
123428a8b4
131bb6a2cb
1411d4c09a
15a82b83a
hex728e888

120121480 has 32 divisors (see below), whose sum is σ = 279595800. Its totient is φ = 46391296.

The previous prime is 120121471. The next prime is 120121487. The reversal of 120121480 is 84121021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 55383364 + 64738116 = 7442^2 + 8046^2 .

It is not an unprimeable number, because it can be changed into a prime (120121487) 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 7 ways as a sum of consecutive naturals, for example, 50617 + ... + 52936.

Almost surely, 2120121480 is an apocalyptic number.

120121480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120121480 is an abundant number, since it is smaller than the sum of its proper divisors (159474320).

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

120121480 is a wasteful number, since it uses less digits than its factorization.

120121480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103593 (or 103589 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 120121480 is about 10959.9945255461. The cubic root of 120121480 is about 493.4088006454.

The spelling of 120121480 in words is "one hundred twenty million, one hundred twenty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 103553 207106 414212 517765 828424 1035530 2071060 3003037 4142120 6006074 12012148 15015185 24024296 30030370 60060740 120121480