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120121000 = 2353120121
BaseRepresentation
bin1110010100011…
…10011010101000
322101000210000221
413022032122220
5221222333000
615530335424
72656003666
oct712163250
9271023027
10120121000
116189475a
123428a574
131bb6a01c
1411d4bc36
15a82b61a
hex728e6a8

120121000 has 32 divisors (see below), whose sum is σ = 281085480. Its totient is φ = 48048000.

The previous prime is 120120967. The next prime is 120121009. The reversal of 120121000 is 121021.

It can be written as a sum of positive squares in 4 ways, for example, as 51926436 + 68194564 = 7206^2 + 8258^2 .

It is not an unprimeable number, because it can be changed into a prime (120121009) 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 7 ways as a sum of consecutive naturals, for example, 59061 + ... + 61060.

Almost surely, 2120121000 is an apocalyptic number.

120121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120121000 is an abundant number, since it is smaller than the sum of its proper divisors (160964480).

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

120121000 is a wasteful number, since it uses less digits than its factorization.

120121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120142 (or 120128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 120121000 is about 10959.9726277030. The cubic root of 120121000 is about 493.4081434315.

Adding to 120121000 its reverse (121021), we get a palindrome (120242021).

It can be divided in two parts, 1201 and 21000, that added together give a square (22201 = 1492).

The spelling of 120121000 in words is "one hundred twenty million, one hundred twenty-one thousand".