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121620432 = 24329412131
BaseRepresentation
bin1110011111111…
…00011111010000
322110211221212110
413033330133100
5222113323212
620022425320
73004520343
oct717743720
9273757773
10121620432
116271925a
1234892240
131c27366b
141221c45a
15aa25a3c
hex73fc7d0

121620432 has 80 divisors (see below), whose sum is σ = 333103680. Its totient is φ = 38169600.

The previous prime is 121620419. The next prime is 121620439. The reversal of 121620432 is 234026121.

It is a junction number, because it is equal to n+sod(n) for n = 121620399 and 121620408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121620439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56007 + ... + 58137.

It is an arithmetic number, because the mean of its divisors is an integer number (4163796).

Almost surely, 2121620432 is an apocalyptic number.

121620432 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 121620432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166551840).

121620432 is an abundant number, since it is smaller than the sum of its proper divisors (211483248).

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

121620432 is a wasteful number, since it uses less digits than its factorization.

121620432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 121620432 is about 11028.1653959305. The cubic root of 121620432 is about 495.4526784401.

Adding to 121620432 its reverse (234026121), we get a palindrome (355646553).

The spelling of 121620432 in words is "one hundred twenty-one million, six hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 41 48 58 82 87 116 123 164 174 232 246 328 348 464 492 656 696 984 1189 1392 1968 2131 2378 3567 4262 4756 6393 7134 8524 9512 12786 14268 17048 19024 25572 28536 34096 51144 57072 61799 87371 102288 123598 174742 185397 247196 262113 349484 370794 494392 524226 698968 741588 988784 1048452 1397936 1483176 2096904 2533759 2966352 4193808 5067518 7601277 10135036 15202554 20270072 30405108 40540144 60810216 121620432