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122161434256 = 2459214812
BaseRepresentation
bin111000111000101100…
…0111000111010010000
3102200022122021211220001
41301301120320322100
54000141311344011
6132041543255344
711553163026001
oct1616130707220
9380278254801
10122161434256
1147898a43724
121b81374a554
13b69ac34c54
145cac4251a8
15329eb057c1
hex1c71638e90

122161434256 has 45 divisors (see below), whose sum is σ = 240930110953. Its totient is φ = 60004906880.

The previous prime is 122161434253. The next prime is 122161434341. The reversal of 122161434256 is 652434161221.

The square root of 122161434256 is 349516.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 52296371856 + 69865062400 = 228684^2 + 264320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122161434253) 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 8 ways as a sum of consecutive naturals, for example, 82485036 + ... + 82486516.

Almost surely, 2122161434256 is an apocalyptic number.

122161434256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

122161434256 is the 349516-th square number.

It is an amenable number.

122161434256 is a deficient number, since it is larger than the sum of its proper divisors (118768676697).

122161434256 is an frugal number, since it uses more digits than its factorization.

122161434256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 1542 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

Adding to 122161434256 its reverse (652434161221), we get a palindrome (774595595477).

The spelling of 122161434256 in words is "one hundred twenty-two billion, one hundred sixty-one million, four hundred thirty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 59 118 236 472 944 1481 2962 3481 5924 6962 11848 13924 23696 27848 55696 87379 174758 349516 699032 1398064 2193361 4386722 5155361 8773444 10310722 17546888 20621444 35093776 41242888 82485776 129408299 258816598 517633196 1035266392 2070532784 7635089641 15270179282 30540358564 61080717128 122161434256