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1225122000 = 243531712011
BaseRepresentation
bin100100100000101…
…1110000011010000
310011101021122102220
41021001132003100
510002112401000
6321322341040
742234236154
oct11101360320
93141248386
101225122000
11579605323
122a235a780
13166a7c07b
14b89cd064
157284e1a0
hex4905e0d0

1225122000 has 160 divisors (see below), whose sum is σ = 4182482304. Its totient is φ = 307456000.

The previous prime is 1225121993. The next prime is 1225122029. The reversal of 1225122000 is 2215221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95995 + ... + 108005.

Almost surely, 21225122000 is an apocalyptic number.

1225122000 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 1225122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091241152).

1225122000 is an abundant number, since it is smaller than the sum of its proper divisors (2957360304).

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

1225122000 is a wasteful number, since it uses less digits than its factorization.

1225122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12054 (or 12038 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1225122000 is about 35001.7428137514. The cubic root of 1225122000 is about 1070.0230000588.

Adding to 1225122000 its reverse (2215221), we get a palindrome (1227337221).

The spelling of 1225122000 in words is "one billion, two hundred twenty-five million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 125 136 150 170 200 204 240 250 255 272 300 340 375 400 408 425 500 510 600 680 750 816 850 1000 1020 1200 1275 1360 1500 1700 2000 2040 2125 2550 3000 3400 4080 4250 5100 6000 6375 6800 8500 10200 12011 12750 17000 20400 24022 25500 34000 36033 48044 51000 60055 72066 96088 102000 120110 144132 180165 192176 204187 240220 288264 300275 360330 408374 480440 576528 600550 612561 720660 816748 900825 960880 1020935 1201100 1225122 1441320 1501375 1633496 1801650 2041870 2402200 2450244 2882640 3002750 3062805 3266992 3603300 4083740 4504125 4804400 4900488 5104675 6005500 6125610 7206600 8167480 9008250 9800976 10209350 12011000 12251220 14413200 15314025 16334960 18016500 20418700 24022000 24502440 25523375 30628050 36033000 40837400 49004880 51046750 61256100 72066000 76570125 81674800 102093500 122512200 153140250 204187000 245024400 306280500 408374000 612561000 1225122000