Search a number
-
+
122941980 = 223257253263
BaseRepresentation
bin1110101001111…
…11001000011100
322120100002200200
413110333020130
5222433120410
620111023500
73021663300
oct724771034
9276302620
10122941980
1163441147
123520ab90
131c617045
1412483d00
15abd73c0
hex753f21c

122941980 has 216 divisors, whose sum is σ = 443675232. Its totient is φ = 27465984.

The previous prime is 122941963. The next prime is 122941993. The reversal of 122941980 is 89149221.

It is a super-2 number, since 2×1229419802 = 30229460892640800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 467329 + ... + 467591.

It is an arithmetic number, because the mean of its divisors is an integer number (2054052).

Almost surely, 2122941980 is an apocalyptic number.

122941980 is a gapful number since it is divisible by the number (10) 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 122941980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221837616).

122941980 is an abundant number, since it is smaller than the sum of its proper divisors (320733252).

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

122941980 is a wasteful number, since it uses less digits than its factorization.

122941980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 122941980 is about 11087.9204542601. The cubic root of 122941980 is about 497.2407746939.

The spelling of 122941980 in words is "one hundred twenty-two million, nine hundred forty-one thousand, nine hundred eighty".