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125130551200 = 2552593178363
BaseRepresentation
bin111010010001001011…
…1001010111110100000
3102221222120012121122021
41310202113022332200
54022231410114300
6133252325551224
712016565064424
oct1644227127640
9387876177567
10125130551200
1149081a30186
1220301b75514
13ba520c5595
1460b08acb84
1533c55e8d1a
hex1d225cafa0

125130551200 has 144 divisors (see below), whose sum is σ = 311669739360. Its totient is φ = 49042795520.

The previous prime is 125130551153. The next prime is 125130551207. The reversal of 125130551200 is 2155031521.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (125130551207) 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, 14958219 + ... + 14966581.

It is an arithmetic number, because the mean of its divisors is an integer number (2164373190).

Almost surely, 2125130551200 is an apocalyptic number.

125130551200 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 125130551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155834869680).

125130551200 is an abundant number, since it is smaller than the sum of its proper divisors (186539188160).

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

125130551200 is a wasteful number, since it uses less digits than its factorization.

125130551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8759 (or 8746 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

Adding to 125130551200 its reverse (2155031521), we get a palindrome (127285582721).

The spelling of 125130551200 in words is "one hundred twenty-five billion, one hundred thirty million, five hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 118 160 200 236 295 317 400 472 590 634 800 944 1180 1268 1475 1585 1888 2360 2536 2950 3170 4720 5072 5900 6340 7925 8363 9440 10144 11800 12680 15850 16726 18703 23600 25360 31700 33452 37406 41815 47200 50720 63400 66904 74812 83630 93515 126800 133808 149624 167260 187030 209075 253600 267616 299248 334520 374060 418150 467575 493417 598496 669040 748120 836300 935150 986834 1338080 1496240 1672600 1870300 1973668 2467085 2651071 2992480 3345200 3740600 3947336 4934170 5302142 6690400 7481200 7894672 9868340 10604284 12335425 13255355 14962400 15789344 19736680 21208568 24670850 26510710 39473360 42417136 49341700 53021420 66276775 78946720 84834272 98683400 106042840 132553550 156413189 197366800 212085680 265107100 312826378 394733600 424171360 530214200 625652756 782065945 1060428400 1251305512 1564131890 2120856800 2502611024 3128263780 3910329725 5005222048 6256527560 7820659450 12513055120 15641318900 25026110240 31282637800 62565275600 125130551200