Search a number
-
+
122002980 = 223511316789
BaseRepresentation
bin1110100010110…
…01111000100100
322111120101121220
413101121320210
5222213043410
620034540340
73011002551
oct721317044
9274511556
10122002980
116295a710
1234a376b0
131c378818
14122bba28
15aa9e070
hex7459e24

122002980 has 192 divisors, whose sum is σ = 394813440. Its totient is φ = 27878400.

The previous prime is 122002967. The next prime is 122002981. The reversal of 122002980 is 89200221.

It is a self number, because there is not a number n which added to its sum of digits gives 122002980.

It is not an unprimeable number, because it can be changed into a prime (122002981) 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 63 ways as a sum of consecutive naturals, for example, 1370776 + ... + 1370864.

It is an arithmetic number, because the mean of its divisors is an integer number (2056320).

Almost surely, 2122002980 is an apocalyptic number.

122002980 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 122002980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720).

122002980 is an abundant number, since it is smaller than the sum of its proper divisors (272810460).

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

122002980 is a wasteful number, since it uses less digits than its factorization.

122002980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 122002980 is about 11045.4959146251. The cubic root of 122002980 is about 495.9716045572.

The spelling of 122002980 in words is "one hundred twenty-two million, two thousand, nine hundred eighty".