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12270972 = 2237241509
BaseRepresentation
bin101110110011…
…110101111100
3212002102121110
4232303311330
511120132342
61115002020
7206205300
oct56636574
925072543
1012270972
116a213aa
124139310
13270843c
1418b5d00
151125c9c
hexbb3d7c

12270972 has 72 divisors (see below), whose sum is σ = 34186320. Its totient is φ = 3413760.

The previous prime is 12270971. The next prime is 12271003. The reversal of 12270972 is 27907221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12270971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23854 + ... + 24362.

It is an arithmetic number, because the mean of its divisors is an integer number (474810).

Almost surely, 212270972 is an apocalyptic number.

12270972 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 12270972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093160).

12270972 is an abundant number, since it is smaller than the sum of its proper divisors (21915348).

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

12270972 is a wasteful number, since it uses less digits than its factorization.

12270972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 12270972 is about 3502.9947188085. The cubic root of 12270972 is about 230.6532907179.

The spelling of 12270972 in words is "twelve million, two hundred seventy thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 287 294 492 509 574 588 861 1018 1148 1527 1722 2009 2036 3054 3444 3563 4018 6027 6108 7126 8036 10689 12054 14252 20869 21378 24108 24941 41738 42756 49882 62607 74823 83476 99764 125214 146083 149646 250428 292166 299292 438249 584332 876498 1022581 1752996 2045162 3067743 4090324 6135486 12270972