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121302272 = 2871341127
BaseRepresentation
bin1110011101011…
…10110100000000
322110020210102202
413032232310000
5222023133042
620011532332
73002023640
oct716566400
9273223382
10121302272
1162521213
123475a0a8
131c1918c0
1412178520
15a9b1632
hex73aed00

121302272 has 144 divisors (see below), whose sum is σ = 307679232. Its totient is φ = 46448640.

The previous prime is 121302263. The next prime is 121302277. The reversal of 121302272 is 272203121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121302277) 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, 955073 + ... + 955199.

Almost surely, 2121302272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121302272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153839616).

121302272 is an abundant number, since it is smaller than the sum of its proper divisors (186376960).

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

121302272 is a wasteful number, since it uses less digits than its factorization.

121302272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 121302272 is about 11013.7310662645. The cubic root of 121302272 is about 495.0202651296.

Adding to 121302272 its reverse (272203121), we get a palindrome (393505393).

The spelling of 121302272 in words is "one hundred twenty-one million, three hundred two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 41 52 56 64 82 91 104 112 127 128 164 182 208 224 254 256 287 328 364 416 448 508 533 574 656 728 832 889 896 1016 1066 1148 1312 1456 1651 1664 1778 1792 2032 2132 2296 2624 2912 3302 3328 3556 3731 4064 4264 4592 5207 5248 5824 6604 7112 7462 8128 8528 9184 10414 10496 11557 11648 13208 14224 14924 16256 17056 18368 20828 23114 23296 26416 28448 29848 32512 34112 36449 36736 41656 46228 52832 56896 59696 67691 68224 72898 73472 83312 92456 105664 113792 119392 135382 136448 145796 166624 184912 211328 227584 238784 270764 291592 333248 369824 422656 473837 477568 541528 583184 666496 739648 947674 955136 1083056 1166368 1332992 1479296 1895348 2166112 2332736 2958592 3790696 4332224 4665472 7581392 8664448 9330944 15162784 17328896 30325568 60651136 121302272