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121621320 = 23325337837
BaseRepresentation
bin1110011111111…
…00101101001000
322110212000002100
413033330231020
5222113340240
620022433400
73004523052
oct717745510
9273760070
10121621320
1162719997
1234892860
131c273ba2
141221c8d2
15aa25e30
hex73fcb48

121621320 has 48 divisors (see below), whose sum is σ = 395270460. Its totient is φ = 32432256.

The previous prime is 121621319. The next prime is 121621333. The reversal of 121621320 is 23126121.

121621320 is a `hidden beast` number, since 1 + 21 + 621 + 3 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108618084 + 13003236 = 10422^2 + 3606^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121621293 and 121621302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168559 + ... + 169278.

Almost surely, 2121621320 is an apocalyptic number.

121621320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121621320 is an abundant number, since it is smaller than the sum of its proper divisors (273649140).

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

121621320 is a wasteful number, since it uses less digits than its factorization.

121621320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337854 (or 337847 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 121621320 is about 11028.2056564067. The cubic root of 121621320 is about 495.4538842707.

Adding to 121621320 its reverse (23126121), we get a palindrome (144747441).

The spelling of 121621320 in words is "one hundred twenty-one million, six hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 337837 675674 1013511 1351348 1689185 2027022 2702696 3040533 3378370 4054044 5067555 6081066 6756740 8108088 10135110 12162132 13513480 15202665 20270220 24324264 30405330 40540440 60810660 121621320