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2200211121200 = 245217907356737
BaseRepresentation
bin100000000001000110110…
…011010110010000110000
321210100010111101121022012
4200001012303112100300
5242022013021334300
64402432452102052
7314650165645541
oct40010663262060
97710114347265
102200211121200
11779116900514
122b64ba304928
1312c62c532821
14786c2a0a4c8
153c374c56435
hex20046cd6430

2200211121200 has 120 divisors (see below), whose sum is σ = 5603135362992. Its totient is φ = 827399208960.

The previous prime is 2200211121181. The next prime is 2200211121259. The reversal of 2200211121200 is 21211120022.

It is a super-2 number, since 2×22002111212002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5989232 + ... + 6345968.

Almost surely, 22200211121200 is an apocalyptic number.

2200211121200 is a gapful number since it is divisible by the number (20) 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 2200211121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801567681496).

2200211121200 is an abundant number, since it is smaller than the sum of its proper divisors (3402924241792).

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

2200211121200 is a wasteful number, since it uses less digits than its factorization.

2200211121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357679 (or 357668 counting only the distinct ones).

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

Adding to 2200211121200 its reverse (21211120022), we get a palindrome (2221422241222).

The spelling of 2200211121200 in words is "two trillion, two hundred billion, two hundred eleven million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 907 1360 1700 1814 3400 3628 4535 6800 7256 9070 14512 15419 18140 22675 30838 36280 45350 61676 72560 77095 90700 123352 154190 181400 246704 308380 356737 362800 385475 616760 713474 770950 1233520 1426948 1541900 1783685 2853896 3083800 3567370 5707792 6064529 6167600 7134740 8918425 12129058 14269480 17836850 24258116 28538960 30322645 35673700 48516232 60645290 71347400 97032464 121290580 142694800 151613225 242581160 303226450 323560459 485162320 606452900 647120918 1212905800 1294241836 1617802295 2425811600 2588483672 3235604590 5176967344 5500527803 6471209180 8089011475 11001055606 12942418360 16178022950 22002111212 25884836720 27502639015 32356045900 44004222424 55005278030 64712091800 88008444848 110010556060 129424183600 137513195075 220021112120 275026390150 440042224240 550052780300 1100105560600 2200211121200