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121883232 = 2532335449
BaseRepresentation
bin1110100001111…
…00101001100000
322111100022100210
413100330221200
5222200230412
620032214120
73006663462
oct720745140
9274308323
10121883232
1162888749
123499a340
131c336173
141228a132
15aa7883c
hex743ca60

121883232 has 48 divisors (see below), whose sum is σ = 321375600. Its totient is φ = 40445952.

The previous prime is 121883221. The next prime is 121883243. The reversal of 121883232 is 232388121.

It is an interprime number because it is at equal distance from previous prime (121883221) and next prime (121883243).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 121883232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19644 + ... + 25092.

It is an arithmetic number, because the mean of its divisors is an integer number (6695325).

Almost surely, 2121883232 is an apocalyptic number.

121883232 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 121883232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160687800).

121883232 is an abundant number, since it is smaller than the sum of its proper divisors (199492368).

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

121883232 is a wasteful number, since it uses less digits than its factorization.

121883232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5695 (or 5687 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 121883232 is about 11040.0739127961. The cubic root of 121883232 is about 495.8092832500.

The spelling of 121883232 in words is "one hundred twenty-one million, eight hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 233 466 699 932 1398 1864 2796 3728 5449 5592 7456 10898 11184 16347 21796 22368 32694 43592 65388 87184 130776 174368 261552 523104 1269617 2539234 3808851 5078468 7617702 10156936 15235404 20313872 30470808 40627744 60941616 121883232