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1201200022000 = 245311433126097
BaseRepresentation
bin10001011110101101000…
…110011100000111110000
311020211111200202112200201
4101132231012130013300
5124140024201201000
62315453525124544
7152532566502316
oct21365506340760
94224450675621
101201200022000
11423476108410
12174973559754
13893710b91b4
14421d1a620b6
15213a522c96a
hex117ad19c1f0

1201200022000 has 160 divisors (see below), whose sum is σ = 3175890105024. Its totient is φ = 435787776000.

The previous prime is 1201200021971. The next prime is 1201200022007. The reversal of 1201200022000 is 2200021021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201200022007) 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, 9462952 + ... + 9589048.

Almost surely, 21201200022000 is an apocalyptic number.

1201200022000 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 1201200022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587945052512).

1201200022000 is an abundant number, since it is smaller than the sum of its proper divisors (1974690083024).

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

1201200022000 is a wasteful number, since it uses less digits than its factorization.

1201200022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126564 (or 126548 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1201200022000 its reverse (2200021021), we get a palindrome (1203400043021).

The spelling of 1201200022000 in words is "one trillion, two hundred one billion, two hundred million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 433 440 500 550 866 880 1000 1100 1375 1732 2000 2165 2200 2750 3464 4330 4400 4763 5500 6928 8660 9526 10825 11000 17320 19052 21650 22000 23815 34640 38104 43300 47630 54125 76208 86600 95260 108250 119075 126097 173200 190520 216500 238150 252194 381040 433000 476300 504388 595375 630485 866000 952600 1008776 1190750 1260970 1387067 1905200 2017552 2381500 2521940 2774134 3152425 4763000 5043880 5548268 6304850 6935335 9526000 10087760 11096536 12609700 13870670 15762125 22193072 25219400 27741340 31524250 34676675 50438800 54600001 55482680 63048500 69353350 109200002 110965360 126097000 138706700 173383375 218400004 252194000 273000005 277413400 346766750 436800008 546000010 554826800 600600011 693533500 873600016 1092000020 1201200022 1365000025 1387067000 2184000040 2402400044 2730000050 2774134000 3003000055 4368000080 4804800088 5460000100 6006000110 6825000125 9609600176 10920000200 12012000220 13650000250 15015000275 21840000400 24024000440 27300000500 30030000550 48048000880 54600001000 60060001100 75075001375 109200002000 120120002200 150150002750 240240004400 300300005500 600600011000 1201200022000