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122000011 = 753499659
BaseRepresentation
bin1110100010110…
…01001010001011
322111120020112221
413101121022023
5222213000021
620034514511
73010661110
oct721311213
9274506487
10122000011
1162958461
1234a35a37
131c377373
14122ba907
15aa9d241
hex745928b

122000011 has 16 divisors (see below), whose sum is σ = 142560000. Its totient is φ = 102237408.

The previous prime is 122000003. The next prime is 122000029. The reversal of 122000011 is 110000221.

It is not a de Polignac number, because 122000011 - 23 = 122000003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a pancake number, because a pancake can be divided into 122000011 parts by 15620 straight cuts.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121999958 and 122000003.

It is not an unprimeable number, because it can be changed into a prime (122030011) 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 15 ways as a sum of consecutive naturals, for example, 184800 + ... + 185458.

It is an arithmetic number, because the mean of its divisors is an integer number (8910000).

Almost surely, 2122000011 is an apocalyptic number.

122000011 is the 6986-th heptagonal number.

122000011 is a deficient number, since it is larger than the sum of its proper divisors (20559989).

122000011 is an equidigital number, since it uses as much as digits as its factorization.

122000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218.

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 122000011 is about 11045.3615151339. The cubic root of 122000011 is about 495.9675812904.

Adding to 122000011 its reverse (110000221), we get a palindrome (232000232).

The spelling of 122000011 in words is "one hundred twenty-two million, eleven", and thus it is an aban number.

Divisors: 1 7 53 371 499 659 3493 4613 26447 34927 185129 244489 328841 2301887 17428573 122000011