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122022012 = 223710913327
BaseRepresentation
bin1110100010111…
…10100001111100
322111121100201210
413101132201330
5222214201022
620035204420
73011112210
oct721364174
9274540653
10122022012
1162972a42
1234a46710
131c384398
14122c4940
15aaa4a0c
hex745e87c

122022012 has 48 divisors (see below), whose sum is σ = 328401920. Its totient is φ = 34540992.

The previous prime is 122022007. The next prime is 122022037. The reversal of 122022012 is 210220221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 2493 + ... + 15819.

Almost surely, 2122022012 is an apocalyptic number.

122022012 is a gapful number since it is divisible by the number (12) 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 122022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164200960).

122022012 is an abundant number, since it is smaller than the sum of its proper divisors (206379908).

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

122022012 is a wasteful number, since it uses less digits than its factorization.

122022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13450 (or 13448 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 122022012 is about 11046.3574086664. The cubic root of 122022012 is about 495.9973931098.

Adding to 122022012 its reverse (210220221), we get a palindrome (332242233).

It can be divided in two parts, 1220 and 22012, that added together give a palindrome (23232).

The spelling of 122022012 in words is "one hundred twenty-two million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 109 218 327 436 654 763 1308 1526 2289 3052 4578 9156 13327 26654 39981 53308 79962 93289 159924 186578 279867 373156 559734 1119468 1452643 2905286 4357929 5810572 8715858 10168501 17431716 20337002 30505503 40674004 61011006 122022012