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123227730972 = 223820992237
BaseRepresentation
bin111001011000011110…
…0011111010000011100
3102210001221201100000000
41302300330133100130
54004332244342342
6132335433534300
711621461300533
oct1626074372034
9383057640000
10123227730972
1148295929185
121ba70874390
13b80ab15158
145d6dcad31a
15331353044c
hex1cb0f1f41c

123227730972 has 108 divisors (see below), whose sum is σ = 323755122600. Its totient is φ = 41037987744.

The previous prime is 123227730949. The next prime is 123227730991. The reversal of 123227730972 is 279037722321.

It is a happy number.

123227730972 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 277 + 309 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55085038 + ... + 55087274.

Almost surely, 2123227730972 is an apocalyptic number.

123227730972 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 123227730972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161877561300).

123227730972 is an abundant number, since it is smaller than the sum of its proper divisors (200527391628).

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

123227730972 is an equidigital number, since it uses as much as digits as its factorization.

123227730972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364 (or 4341 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 123227730972 in words is "one hundred twenty-three billion, two hundred twenty-seven million, seven hundred thirty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2099 2187 2237 2916 4198 4374 4474 6297 6561 6711 8396 8748 8948 12594 13122 13422 18891 20133 25188 26244 26844 37782 40266 56673 60399 75564 80532 113346 120798 170019 181197 226692 241596 340038 362394 510057 543591 680076 724788 1020114 1087182 1530171 1630773 2040228 2174364 3060342 3261546 4590513 4695463 4892319 6120684 6523092 9181026 9390926 9784638 13771539 14086389 14676957 18362052 18781852 19569276 27543078 28172778 29353914 42259167 55086156 56345556 58707828 84518334 126777501 169036668 253555002 380332503 507110004 760665006 1140997509 1521330012 2281995018 3422992527 4563990036 6845985054 10268977581 13691970108 20537955162 30806932743 41075910324 61613865486 123227730972