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121140120 = 23351009501
BaseRepresentation
bin1110011100001…
…11001110011000
322102221120000010
413032013032120
5222002440440
620004241520
73000450123
oct716071630
9272846003
10121140120
1162420402
12346a02a0
131c135b5a
14121353ba
15a97d580
hex7387398

121140120 has 32 divisors (see below), whose sum is σ = 363420720. Its totient is φ = 32304000.

The previous prime is 121140091. The next prime is 121140121. The reversal of 121140120 is 21041121.

It is a happy number.

It is a super-3 number, since 3×1211401203 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 121140096 and 121140105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121140121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504631 + ... + 504870.

Almost surely, 2121140120 is an apocalyptic number.

121140120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121140120 is an abundant number, since it is smaller than the sum of its proper divisors (242280600).

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

121140120 is a wasteful number, since it uses less digits than its factorization.

121140120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009515 (or 1009511 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 121140120 is about 11006.3672480978. The cubic root of 121140120 is about 494.7995923758.

Adding to 121140120 its reverse (21041121), we get a palindrome (142181241).

The spelling of 121140120 in words is "one hundred twenty-one million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1009501 2019002 3028503 4038004 5047505 6057006 8076008 10095010 12114012 15142515 20190020 24228024 30285030 40380040 60570060 121140120