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121335040 = 28594793
BaseRepresentation
bin1110011101101…
…10110100000000
322110022110101101
413032312310000
5222030210130
620012344144
73002221321
oct716666400
9273273341
10121335040
11625438a2
1234775054
131c1a37a8
1412186448
15a9bb1ca
hex73b6d00

121335040 has 36 divisors (see below), whose sum is σ = 290638404. Its totient is φ = 48533504.

The previous prime is 121334999. The next prime is 121335061. The reversal of 121335040 is 40533121.

It can be written as a sum of positive squares in 2 ways, for example, as 15492096 + 105842944 = 3936^2 + 10288^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121334999 and 121335017.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 46117 + ... + 48676.

It is an arithmetic number, because the mean of its divisors is an integer number (8073289).

Almost surely, 2121335040 is an apocalyptic number.

121335040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121335040 is an abundant number, since it is smaller than the sum of its proper divisors (169303364).

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

121335040 is an frugal number, since it uses more digits than its factorization.

121335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94814 (or 94800 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 121335040 is about 11015.2185634240. The cubic root of 121335040 is about 495.0648352309.

Adding to 121335040 its reverse (40533121), we get a palindrome (161868161).

The spelling of 121335040 in words is "one hundred twenty-one million, three hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 94793 189586 379172 473965 758344 947930 1516688 1895860 3033376 3791720 6066752 7583440 12133504 15166880 24267008 30333760 60667520 121335040