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121090048 = 212173747
BaseRepresentation
bin1110011011110…
…11000000000000
322102212000022121
413031323000000
5221444340143
620003214024
73000151132
oct715730000
9272760277
10121090048
1162396822
1234677314
131c119121
1412121052
15a96d7ed
hex737b000

121090048 has 104 divisors (see below), whose sum is σ = 268926912. Its totient is φ = 54263808.

The previous prime is 121090043. The next prime is 121090091. The reversal of 121090048 is 840090121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (121090043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2576361 + ... + 2576407.

Almost surely, 2121090048 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 121090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134463456).

121090048 is an abundant number, since it is smaller than the sum of its proper divisors (147836864).

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

121090048 is an equidigital number, since it uses as much as digits as its factorization.

121090048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 121090048 is about 11004.0923296744. The cubic root of 121090048 is about 494.7314095708.

The spelling of 121090048 in words is "one hundred twenty-one million, ninety thousand, forty-eight".

Divisors: 1 2 4 8 16 17 32 34 37 47 64 68 74 94 128 136 148 188 256 272 296 376 512 544 592 629 752 799 1024 1088 1184 1258 1504 1598 1739 2048 2176 2368 2516 3008 3196 3478 4096 4352 4736 5032 6016 6392 6956 8704 9472 10064 12032 12784 13912 17408 18944 20128 24064 25568 27824 29563 34816 37888 40256 48128 51136 55648 59126 69632 75776 80512 96256 102272 111296 118252 151552 161024 192512 204544 222592 236504 322048 409088 445184 473008 644096 818176 890368 946016 1288192 1636352 1780736 1892032 2576384 3272704 3561472 3784064 7122944 7568128 15136256 30272512 60545024 121090048