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121137460 = 22531613203
BaseRepresentation
bin1110011100001…
…10100100110100
322102221102100121
413032012210310
5222002344320
620004221324
73000436303
oct716064464
9272842317
10121137460
1162419404
123469a844
131c134892
141213443a
15a97c8aa
hex7386934

121137460 has 48 divisors (see below), whose sum is σ = 266982912. Its totient is φ = 46108800.

The previous prime is 121137451. The next prime is 121137463. The reversal of 121137460 is 64731121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121137463) 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 15 ways as a sum of consecutive naturals, for example, 36219 + ... + 39421.

It is an arithmetic number, because the mean of its divisors is an integer number (5562144).

Almost surely, 2121137460 is an apocalyptic number.

121137460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121137460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133491456).

121137460 is an abundant number, since it is smaller than the sum of its proper divisors (145845452).

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

121137460 is a wasteful number, since it uses less digits than its factorization.

121137460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 121137460 is about 11006.2464082902. The cubic root of 121137460 is about 494.7959707390.

Adding to 121137460 its reverse (64731121), we get a palindrome (185868581).

The spelling of 121137460 in words is "one hundred twenty-one million, one hundred thirty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 61 62 122 124 155 244 305 310 610 620 1220 1891 3203 3782 6406 7564 9455 12812 16015 18910 32030 37820 64060 99293 195383 198586 390766 397172 496465 781532 976915 992930 1953830 1985860 3907660 6056873 12113746 24227492 30284365 60568730 121137460