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1200122100212 = 227437127495107
BaseRepresentation
bin10001011101101100110…
…110011111100111110100
311020201201120110102222112
4101131230312133213310
5124130322224201322
62315154541350152
7152464100352230
oct21355466374764
94221646412875
101200122100212
11422a72702862
12174712568358
138922b998859
144212c82d5c0
15213407a85e2
hex1176cd9f9f4

1200122100212 has 96 divisors (see below), whose sum is σ = 2492050176000. Its totient is φ = 495023840640.

The previous prime is 1200122100211. The next prime is 1200122100257. The reversal of 1200122100212 is 2120012210021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200122100211) 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, 234992963 + ... + 234998069.

It is an arithmetic number, because the mean of its divisors is an integer number (25958856000).

Almost surely, 21200122100212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200122100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246025088000).

1200122100212 is an abundant number, since it is smaller than the sum of its proper divisors (1291928075788).

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

1200122100212 is a wasteful number, since it uses less digits than its factorization.

1200122100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7981 (or 7979 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1200122100212 its reverse (2120012210021), we get a palindrome (3320134310233).

It can be divided in two parts, 120012210021 and 2, that multiplied together give a palindrome (240024420042).

The spelling of 1200122100212 in words is "one trillion, two hundred billion, one hundred twenty-two million, one hundred thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 43 71 86 142 172 284 301 497 602 994 1204 1988 2749 3053 5107 5498 6106 10214 10996 12212 19243 20428 21371 35749 38486 42742 71498 76972 85484 118207 142996 195179 219601 236414 362597 390358 439202 472828 725194 780716 827449 878404 1366253 1450388 1537207 1654898 2538179 2732506 3074414 3309796 5076358 5465012 6148828 8392697 10152716 14039143 15591671 16785394 28078286 31183342 33570788 56156572 58748879 62366684 98274001 109141697 117497758 196548002 218283394 234995516 393096004 436566788 603683149 996779153 1207366298 1993558306 2414732596 3987116612 4225782043 6977454071 8451564086 13954908142 16903128172 27909816284 42861503579 85723007158 171446014316 300030525053 600061050106 1200122100212