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122030200 = 23521813371
BaseRepresentation
bin1110100011000…
…00100001111000
322111121202222001
413101200201320
5222214431300
620035310344
73011145115
oct721404170
9274552861
10122030200
1162979106
1234a4b3b4
131c388026
14122c790c
15aaa716a
hex7460878

122030200 has 48 divisors (see below), whose sum is σ = 285372360. Its totient is φ = 48528000.

The previous prime is 122030149. The next prime is 122030201. The reversal of 122030200 is 2030221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122030201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34515 + ... + 37885.

Almost surely, 2122030200 is an apocalyptic number.

122030200 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 122030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142686180).

122030200 is an abundant number, since it is smaller than the sum of its proper divisors (163342160).

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

122030200 is a wasteful number, since it uses less digits than its factorization.

122030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 122030200 is about 11046.7280223603. The cubic root of 122030200 is about 496.0084871076.

Adding to 122030200 its reverse (2030221), we get a palindrome (124060421).

The spelling of 122030200 in words is "one hundred twenty-two million, thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 181 200 362 724 905 1448 1810 3371 3620 4525 6742 7240 9050 13484 16855 18100 26968 33710 36200 67420 84275 134840 168550 337100 610151 674200 1220302 2440604 3050755 4881208 6101510 12203020 15253775 24406040 30507550 61015100 122030200