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122991012 = 223231191577
BaseRepresentation
bin1110101010010…
…11000110100100
322120102120221200
413111023012210
5222441203022
620112042500
73022256244
oct725130644
9276376850
10122991012
1163474a71
1235233430
131c633461
1412497b24
15abe6bac
hex754b1a4

122991012 has 72 divisors (see below), whose sum is σ = 323162112. Its totient is φ = 39398400.

The previous prime is 122990999. The next prime is 122991013. The reversal of 122991012 is 210199221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122991013) 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 23 ways as a sum of consecutive naturals, for example, 212868 + ... + 213444.

Almost surely, 2122991012 is an apocalyptic number.

122991012 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 122991012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161581056).

122991012 is an abundant number, since it is smaller than the sum of its proper divisors (200171100).

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

122991012 is a wasteful number, since it uses less digits than its factorization.

122991012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 122991012 is about 11090.1312886728. The cubic root of 122991012 is about 497.3068694735.

The spelling of 122991012 in words is "one hundred twenty-two million, nine hundred ninety-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 191 279 372 382 558 573 577 764 1116 1146 1154 1719 1731 2292 2308 3438 3462 5193 5921 6876 6924 10386 11842 17763 17887 20772 23684 35526 35774 53289 53661 71052 71548 106578 107322 110207 160983 213156 214644 220414 321966 330621 440828 643932 661242 991863 1322484 1983726 3416417 3967452 6832834 10249251 13665668 20498502 30747753 40997004 61495506 122991012