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1231200012 = 223737894451
BaseRepresentation
bin100100101100010…
…1001111100001100
310011210201102220110
41021120221330030
510010141400022
6322100520020
742340012260
oct11130517414
93153642813
101231200012
11581a86879
122a43b0010
131680c9723
14b97320a0
157315000c
hex49629f0c

1231200012 has 96 divisors (see below), whose sum is σ = 3410588160. Its totient is φ = 338342400.

The previous prime is 1231200007. The next prime is 1231200031. The reversal of 1231200012 is 2100021321.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274387 + ... + 278837.

It is an arithmetic number, because the mean of its divisors is an integer number (35526960).

Almost surely, 21231200012 is an apocalyptic number.

1231200012 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 1231200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705294080).

1231200012 is an abundant number, since it is smaller than the sum of its proper divisors (2179388148).

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

1231200012 is a wasteful number, since it uses less digits than its factorization.

1231200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4591 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1231200012 is about 35088.4598123087. The cubic root of 1231200012 is about 1071.7895961069.

Adding to 1231200012 its reverse (2100021321), we get a palindrome (3331221333).

The spelling of 1231200012 in words is "one billion, two hundred thirty-one million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 89 111 148 178 222 259 267 356 444 518 534 623 777 1036 1068 1246 1554 1869 2492 3108 3293 3738 4451 6586 7476 8902 9879 13172 13353 17804 19758 23051 26706 31157 39516 46102 53412 62314 69153 92204 93471 124628 138306 164687 186942 276612 329374 373884 396139 494061 658748 792278 988122 1152809 1188417 1584556 1976244 2305618 2376834 2772973 3458427 4611236 4753668 5545946 6916854 8318919 11091892 13833708 14657143 16637838 29314286 33275676 43971429 58628572 87942858 102600001 175885716 205200002 307800003 410400004 615600006 1231200012