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120212041000 = 2353414762383
BaseRepresentation
bin110111111110100110…
…0100010110100101000
3102111021210011102001211
41233331030202310220
53432143240303000
6131120305122504
711453652326512
oct1577514426450
9374253142054
10120212041000
1146a88621717
121b36a929434
13b44a0c920c
145b65580bb2
1531d88dc7ba
hex1bfd322d28

120212041000 has 128 divisors (see below), whose sum is σ = 294292776960. Its totient is φ = 45913152000.

The previous prime is 120212040983. The next prime is 120212041007. The reversal of 120212041000 is 140212021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120212041007) 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, 1895809 + ... + 1958191.

It is an arithmetic number, because the mean of its divisors is an integer number (2299162320).

Almost surely, 2120212041000 is an apocalyptic number.

120212041000 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 120212041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147146388480).

120212041000 is an abundant number, since it is smaller than the sum of its proper divisors (174080735960).

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

120212041000 is a wasteful number, since it uses less digits than its factorization.

120212041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62492 (or 62478 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120212041000 its reverse (140212021), we get a palindrome (120352253021).

The spelling of 120212041000 in words is "one hundred twenty billion, two hundred twelve million, forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 47 50 82 94 100 125 164 188 200 205 235 250 328 376 410 470 500 820 940 1000 1025 1175 1640 1880 1927 2050 2350 3854 4100 4700 5125 5875 7708 8200 9400 9635 10250 11750 15416 19270 20500 23500 38540 41000 47000 48175 62383 77080 96350 124766 192700 240875 249532 311915 385400 481750 499064 623830 963500 1247660 1559575 1927000 2495320 2557703 2932001 3119150 5115406 5864002 6238300 7797875 10230812 11728004 12476600 12788515 14660005 15595750 20461624 23456008 25577030 29320010 31191500 51154060 58640020 62383000 63942575 73300025 102308120 117280040 120212041 127885150 146600050 240424082 255770300 293200100 319712875 366500125 480848164 511540600 586400200 601060205 639425750 733000250 961696328 1202120410 1278851500 1466000500 2404240820 2557703000 2932001000 3005301025 4808481640 6010602050 12021204100 15026505125 24042408200 30053010250 60106020500 120212041000