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130200121200 = 24352791373419
BaseRepresentation
bin111100101000010001…
…0000010111101110000
3110110001212111110022010
41321100202002331300
54113122212334300
6135451344242520
712256323525042
oct1712042027560
9413055443263
10130200121200
1150243635156
1221297910440
13c37c4a2046
146431cbda92
1535c06e3a50
hex1e50882f70

130200121200 has 120 divisors (see below), whose sum is σ = 422354118400. Its totient is φ = 34280513280.

The previous prime is 130200121199. The next prime is 130200121201. The reversal of 130200121200 is 2121002031.

It is an interprime number because it is at equal distance from previous prime (130200121199) and next prime (130200121201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130200121201) 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, 591910 + ... + 781509.

Almost surely, 2130200121200 is an apocalyptic number.

130200121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130200121200 is an abundant number, since it is smaller than the sum of its proper divisors (292153997200).

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

130200121200 is a wasteful number, since it uses less digits than its factorization.

130200121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373519 (or 1373508 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 130200121200 its reverse (2121002031), we get a palindrome (132321123231).

The spelling of 130200121200 in words is "one hundred thirty billion, two hundred million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 79 80 100 120 150 158 200 237 240 300 316 395 400 474 600 632 790 948 1185 1200 1264 1580 1896 1975 2370 3160 3792 3950 4740 5925 6320 7900 9480 11850 15800 18960 23700 31600 47400 94800 1373419 2746838 4120257 5493676 6867095 8240514 10987352 13734190 16481028 20601285 21974704 27468380 32962056 34335475 41202570 54936760 65924112 68670950 82405140 103006425 108500101 109873520 137341900 164810280 206012850 217000202 274683800 325500303 329620560 412025700 434000404 542500505 549367600 651000606 824051400 868000808 1085001010 1302001212 1627501515 1648102800 1736001616 2170002020 2604002424 2712502525 3255003030 4340004040 5208004848 5425005050 6510006060 8137507575 8680008080 10850010100 13020012120 16275015150 21700020200 26040024240 32550030300 43400040400 65100060600 130200121200