Search a number
-
+
125247412120 = 23529677920399
BaseRepresentation
bin111010010100101010…
…0111101011110011000
3102222021201002202200111
41310221110331132120
54023001314141440
6133312102414104
712022514303005
oct1645124753630
9388251082614
10125247412120
1149131998556
1220335131334
13ba7039075c
1460c220c8ac
1533d09ce4ea
hex1d2953d798

125247412120 has 128 divisors (see below), whose sum is σ = 299635200000. Its totient is φ = 47043988992.

The previous prime is 125247412109. The next prime is 125247412123. The reversal of 125247412120 is 21214742521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125247412123) 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, 6129681 + ... + 6150079.

It is an arithmetic number, because the mean of its divisors is an integer number (2340900000).

Almost surely, 2125247412120 is an apocalyptic number.

125247412120 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 125247412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149817600000).

125247412120 is an abundant number, since it is smaller than the sum of its proper divisors (174387787880).

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

125247412120 is a wasteful number, since it uses less digits than its factorization.

125247412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20585 (or 20581 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The spelling of 125247412120 in words is "one hundred twenty-five billion, two hundred forty-seven million, four hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 67 79 116 134 145 158 232 268 290 316 335 395 536 580 632 670 790 1160 1340 1580 1943 2291 2680 3160 3886 4582 5293 7772 9164 9715 10586 11455 15544 18328 19430 20399 21172 22910 26465 38860 40798 42344 45820 52930 77720 81596 91640 101995 105860 153497 163192 203990 211720 306994 407980 591571 613988 767485 815960 1183142 1227976 1366733 1534970 1611521 2366284 2733466 2957855 3069940 3223042 4732568 5466932 5915710 6139880 6446084 6833665 8057605 10933864 11831420 12892168 13667330 16115210 23662840 27334660 32230420 39635257 46734109 54669320 64460840 79270514 93468218 107971907 158541028 186936436 198176285 215943814 233670545 317082056 373872872 396352570 431887628 467341090 539859535 792705140 863775256 934682180 1079719070 1585410280 1869364360 2159438140 3131185303 4318876280 6262370606 12524741212 15655926515 25049482424 31311853030 62623706060 125247412120