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121123002 = 237211134367
BaseRepresentation
bin1110011100000…
…11000010111010
322102220200112010
413032003002322
5222001414002
620004030350
73000346200
oct716030272
9272820463
10121123002
1162409560
12346923b6
131c12b120
141212d070
15a97846c
hex73830ba

121123002 has 192 divisors, whose sum is σ = 343816704. Its totient is φ = 27941760.

The previous prime is 121123001. The next prime is 121123007. The reversal of 121123002 is 200321121.

It is a super-2 number, since 2×1211230022 = 29341563226984008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121123001) 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 95 ways as a sum of consecutive naturals, for example, 1807773 + ... + 1807839.

It is an arithmetic number, because the mean of its divisors is an integer number (1790712).

Almost surely, 2121123002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121123002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171908352).

121123002 is an abundant number, since it is smaller than the sum of its proper divisors (222693702).

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

121123002 is a wasteful number, since it uses less digits than its factorization.

121123002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 121123002 is about 11005.5895798453. The cubic root of 121123002 is about 494.7762849904.

Adding to 121123002 its reverse (200321121), we get a palindrome (321444123).

The spelling of 121123002 in words is "one hundred twenty-one million, one hundred twenty-three thousand, two".