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1200321021020 = 2251119829346391
BaseRepresentation
bin10001011101111000101…
…101010100010001011100
311020202020102202200000212
4101131320231110101130
5124131224140133040
62315230405111552
7152502034223252
oct21357055242134
94222212680025
101200321021020
11423064a18a20
121747690b85b8
1389260c65884
144214b0105d2
1521352e9cd65
hex11778b5445c

1200321021020 has 96 divisors (see below), whose sum is σ = 2898054028800. Its totient is φ = 413007724800.

The previous prime is 1200321021013. The next prime is 1200321021023. The reversal of 1200321021020 is 201201230021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1200321020986 and 1200321021004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200321021023) 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, 3292025 + ... + 3638415.

It is an arithmetic number, because the mean of its divisors is an integer number (30188062800).

Almost surely, 21200321021020 is an apocalyptic number.

1200321021020 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 1200321021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449027014400).

1200321021020 is an abundant number, since it is smaller than the sum of its proper divisors (1697733007780).

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

1200321021020 is a wasteful number, since it uses less digits than its factorization.

1200321021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347259 (or 347257 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1200321021020 its reverse (201201230021), we get a palindrome (1401522251041).

The spelling of 1200321021020 in words is "one trillion, two hundred billion, three hundred twenty-one million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 829 836 1045 1658 2090 3316 4145 4180 8290 9119 15751 16580 18238 31502 36476 45595 63004 78755 91190 157510 173261 182380 315020 346391 346522 692782 693044 866305 1385564 1731955 1732610 3463910 3465220 3810301 6581429 6927820 7620602 13162858 15241204 19051505 26325716 32907145 38103010 65814290 72395719 76206020 131628580 144791438 287158139 289582876 361978595 574316278 723957190 1148632556 1435790695 1447914380 2871581390 3158739529 5456004641 5743162780 6317479058 10912009282 12634958116 15793697645 21824018564 27280023205 31587395290 54560046410 60016051051 63174790580 109120092820 120032102102 240064204204 300080255255 600160510510 1200321021020