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122016620 = 225113117891
BaseRepresentation
bin1110100010111…
…01001101101100
322111121002100002
413101131031230
5222214012440
620035123432
73011060405
oct721351554
9274532302
10122016620
1162969990
1234a43578
131c381aab
14122c29ac
15aaa3115
hex745d36c

122016620 has 48 divisors (see below), whose sum is σ = 288562176. Its totient is φ = 42936000.

The previous prime is 122016617. The next prime is 122016641. The reversal of 122016620 is 26610221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122016592 and 122016601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2126 + ... + 15765.

It is an arithmetic number, because the mean of its divisors is an integer number (6011712).

Almost surely, 2122016620 is an apocalyptic number.

122016620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122016620 is an abundant number, since it is smaller than the sum of its proper divisors (166545556).

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

122016620 is a wasteful number, since it uses less digits than its factorization.

122016620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17942 (or 17940 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 122016620 is about 11046.1133436155. The cubic root of 122016620 is about 495.9900871675.

Adding to 122016620 its reverse (26610221), we get a palindrome (148626841).

The spelling of 122016620 in words is "one hundred twenty-two million, sixteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 17891 35782 71564 89455 178910 196801 357820 393602 554621 787204 984005 1109242 1968010 2218484 2773105 3936020 5546210 6100831 11092420 12201662 24403324 30504155 61008310 122016620