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12100120002200 = 2352337793722619
BaseRepresentation
bin1011000000010100011101…
…0110101011111010011000
31120211202112011112012010002
42300011013112223322120
53041222021210032300
641422415101112132
72356130153001446
oct260050726537230
946752464465102
1012100120002200
1139456a532337a
121435101858648
1369a062027239
142db912959b96
1515eb429615d5
hexb01475abe98

12100120002200 has 96 divisors (see below), whose sum is σ = 28221061705200. Its totient is φ = 4824864522240.

The previous prime is 12100120002181. The next prime is 12100120002209. The reversal of 12100120002200 is 220002100121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100120002209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534942491 + ... + 534965109.

Almost surely, 212100120002200 is an apocalyptic number.

12100120002200 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 12100120002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14110530852600).

12100120002200 is an abundant number, since it is smaller than the sum of its proper divisors (16120941703000).

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

12100120002200 is a wasteful number, since it uses less digits than its factorization.

12100120002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30909 (or 30900 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12100120002200 its reverse (220002100121), we get a palindrome (12320122102321).

The spelling of 12100120002200 in words is "twelve trillion, one hundred billion, one hundred twenty million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 337 674 1348 1685 2696 3370 6740 7937 8425 13480 15874 16850 22619 31748 33700 39685 45238 63496 67400 79370 90476 113095 158740 180952 198425 226190 317480 396850 452380 565475 793700 904760 1130950 1587400 2261900 2674769 4523800 5349538 7622603 10699076 13373845 15245206 21398152 26747690 30490412 38113015 53495380 60980824 66869225 76226030 106990760 133738450 152452060 179527003 190565075 267476900 304904120 359054006 381130150 534953800 718108012 762260300 897635015 1436216024 1524520600 1795270030 3590540060 4488175075 7181080120 8976350150 17952700300 35905400600 60500600011 121001200022 242002400044 302503000055 484004800088 605006000110 1210012000220 1512515000275 2420024000440 3025030000550 6050060001100 12100120002200