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121515552 = 25365209
BaseRepresentation
bin1110011111000…
…10111000100000
322110122122000000
413033202320200
5222101444202
620020300000
73003602514
oct717427040
9273578000
10121515552
1162657484
1234841600
131c2379c2
14121d2144
15aa0491c
hex73e2e20

121515552 has 84 divisors (see below), whose sum is σ = 358755390. Its totient is φ = 40497408.

The previous prime is 121515551. The next prime is 121515553. The reversal of 121515552 is 255515121.

It is an interprime number because it is at equal distance from previous prime (121515551) and next prime (121515553).

It can be written as a sum of positive squares in only one way, i.e., 69155856 + 52359696 = 8316^2 + 7236^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121515551) 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 13 ways as a sum of consecutive naturals, for example, 20724 + ... + 25932.

Almost surely, 2121515552 is an apocalyptic number.

121515552 is a gapful number since it is divisible by the number (12) 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 121515552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179377695).

121515552 is an abundant number, since it is smaller than the sum of its proper divisors (237239838).

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

121515552 is an frugal number, since it uses more digits than its factorization.

121515552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237 (or 5214 counting only the distinct ones).

The product of its digits is 2500, while the sum is 27.

The square root of 121515552 is about 11023.4092729972. The cubic root of 121515552 is about 495.3102187670.

The spelling of 121515552 in words is "one hundred twenty-one million, five hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5209 5832 7776 10418 11664 15627 20836 23328 31254 41672 46881 62508 83344 93762 125016 140643 166688 187524 250032 281286 375048 421929 500064 562572 750096 843858 1125144 1265787 1500192 1687716 2250288 2531574 3375432 3797361 4500576 5063148 6750864 7594722 10126296 13501728 15189444 20252592 30378888 40505184 60757776 121515552