Search a number
-
+
120010022000 = 2453117176831
BaseRepresentation
bin110111111000100100…
…1111001110001110000
3102110202201000210002122
41233301021321301300
53431240031201000
6131044251133412
711445650233031
oct1576111716160
9373681023078
10120010022000
114699458a870
121b313144268
13b4172b5c4b
145b467d4a88
1531c5cd5085
hex1bf1279c70

120010022000 has 160 divisors (see below), whose sum is σ = 321027452928. Its totient is φ = 43024800000.

The previous prime is 120010021991. The next prime is 120010022017. The reversal of 120010022000 is 220010021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1523585 + ... + 1600415.

Almost surely, 2120010022000 is an apocalyptic number.

120010022000 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 120010022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160513726464).

120010022000 is an abundant number, since it is smaller than the sum of its proper divisors (201017430928).

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

120010022000 is a wasteful number, since it uses less digits than its factorization.

120010022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76936 (or 76920 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 120010022000 its reverse (220010021), we get a palindrome (120230032021).

The spelling of 120010022000 in words is "one hundred twenty billion, ten million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 71 80 88 100 110 125 142 176 200 220 250 275 284 355 400 440 500 550 568 710 781 880 1000 1100 1136 1375 1420 1562 1775 2000 2200 2750 2840 3124 3550 3905 4400 5500 5680 6248 7100 7810 8875 11000 12496 14200 15620 17750 19525 22000 28400 31240 35500 39050 62480 71000 76831 78100 97625 142000 153662 156200 195250 307324 312400 384155 390500 614648 768310 781000 845141 1229296 1536620 1562000 1690282 1920775 3073240 3380564 3841550 4225705 5455001 6146480 6761128 7683100 8451410 9603875 10910002 13522256 15366200 16902820 19207750 21128525 21820004 27275005 30732400 33805640 38415500 42257050 43640008 54550010 60005011 67611280 76831000 84514100 87280016 105642625 109100020 120010022 136375025 153662000 169028200 211285250 218200040 240020044 272750050 300025055 338056400 422570500 436400080 480040088 545500100 600050110 681875125 845141000 960080176 1091000200 1200100220 1363750250 1500125275 1690282000 2182000400 2400200440 2727500500 3000250550 4800400880 5455001000 6000501100 7500626375 10910002000 12001002200 15001252750 24002004400 30002505500 60005011000 120010022000