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1201332200220 = 22325311012131609
BaseRepresentation
bin10001011110110100111…
…110101010001100011100
311020211211220110220010100
4101132310332222030130
5124140312020401340
62315515010141100
7152536063134465
oct21366476521434
94224756426110
101201332200220
11423533787909
121749ab881790
13893925b8269
144220542bd6c
15213b1b3b830
hex117b4faa31c

1201332200220 has 144 divisors (see below), whose sum is σ = 3798835971840. Its totient is φ = 306951552000.

The previous prime is 1201332200219. The next prime is 1201332200231. The reversal of 1201332200220 is 220022331021.

1201332200220 is a `hidden beast` number, since 120 + 1 + 3 + 322 + 0 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1201332200193 and 1201332200202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502225 + ... + 1629384.

It is an arithmetic number, because the mean of its divisors is an integer number (26380805360).

Almost surely, 21201332200220 is an apocalyptic number.

1201332200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201332200220 is an abundant number, since it is smaller than the sum of its proper divisors (2597503771620).

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

1201332200220 is a wasteful number, since it uses less digits than its factorization.

1201332200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131756 (or 2131751 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1201332200220 its reverse (220022331021), we get a palindrome (1421354531241).

The spelling of 1201332200220 in words is "one trillion, two hundred one billion, three hundred thirty-two million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 101 124 155 180 186 202 279 303 310 372 404 465 505 558 606 620 909 930 1010 1116 1212 1395 1515 1818 1860 2020 2790 3030 3131 3636 4545 5580 6060 6262 9090 9393 12524 15655 18180 18786 28179 31310 37572 46965 56358 62620 93930 112716 140895 187860 281790 563580 2131609 4263218 6394827 8526436 10658045 12789654 19184481 21316090 25579308 31974135 38368962 42632180 63948270 66079879 76737924 95922405 127896540 132159758 191844810 198239637 215292509 264319516 330399395 383689620 396479274 430585018 594718911 645877527 660798790 792958548 861170036 991198185 1076462545 1189437822 1291755054 1321597580 1937632581 1982396370 2152925090 2378875644 2583510108 2973594555 3229387635 3875265162 3964792740 4305850180 5947189110 6458775270 6674067779 7750530324 9688162905 11894378220 12917550540 13348135558 19376325810 20022203337 26696271116 33370338895 38752651620 40044406674 60066610011 66740677790 80088813348 100111016685 120133220022 133481355580 200222033370 240266440044 300333050055 400444066740 600666100110 1201332200220