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12151137000 = 233534878317
BaseRepresentation
bin10110101000100001…
…11010001011101000
31011100211111201100010
423110100322023220
5144341142341000
65325425011520
7610054650252
oct132420721350
934324451303
1012151137000
115176000092
122431483ba0
1311b85710c2
14833b20cd2
154b1b76d50
hex2d443a2e8

12151137000 has 128 divisors (see below), whose sum is σ = 37993962240. Its totient is φ = 3233260800.

The previous prime is 12151136947. The next prime is 12151137007. The reversal of 12151137000 is 73115121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12151137007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1456842 + ... + 1465158.

It is an arithmetic number, because the mean of its divisors is an integer number (296827830).

Almost surely, 212151137000 is an apocalyptic number.

12151137000 is a gapful number since it is divisible by the number (10) 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 12151137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18996981120).

12151137000 is an abundant number, since it is smaller than the sum of its proper divisors (25842825240).

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

12151137000 is a wasteful number, since it uses less digits than its factorization.

12151137000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8828 (or 8814 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The spelling of 12151137000 in words is "twelve billion, one hundred fifty-one million, one hundred thirty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 487 500 600 750 974 1000 1461 1500 1948 2435 2922 3000 3896 4870 5844 7305 8317 9740 11688 12175 14610 16634 19480 24350 24951 29220 33268 36525 41585 48700 49902 58440 60875 66536 73050 83170 97400 99804 121750 124755 146100 166340 182625 199608 207925 243500 249510 292200 332680 365250 415850 487000 499020 623775 730500 831700 998040 1039625 1247550 1461000 1663400 2079250 2495100 3118875 4050379 4158500 4990200 6237750 8100758 8317000 12151137 12475500 16201516 20251895 24302274 24951000 32403032 40503790 48604548 60755685 81007580 97209096 101259475 121511370 162015160 202518950 243022740 303778425 405037900 486045480 506297375 607556850 810075800 1012594750 1215113700 1518892125 2025189500 2430227400 3037784250 4050379000 6075568500 12151137000