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120011200100 = 225211210919091
BaseRepresentation
bin110111111000100111…
…0011001011001100100
3102110202210020122010222
41233301032121121210
53431240331400400
6131044332303512
711445663240521
oct1576116313144
9373683218128
10120011200100
1146995214a00
121b313611b98
13b41760924c
145b46a20148
1531c5e69185
hex1bf1399664

120011200100 has 108 divisors (see below), whose sum is σ = 286545399504. Its totient is φ = 43595640000.

The previous prime is 120011200087. The next prime is 120011200109. The reversal of 120011200100 is 1002110021.

It is not an unprimeable number, because it can be changed into a prime (120011200109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13196555 + ... + 13205645.

Almost surely, 2120011200100 is an apocalyptic number.

120011200100 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 120011200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143272699752).

120011200100 is an abundant number, since it is smaller than the sum of its proper divisors (166534199404).

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

120011200100 is a wasteful number, since it uses less digits than its factorization.

120011200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10218 (or 10200 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 120011200100 its reverse (1002110021), we get a palindrome (121013310121).

It can be divided in two parts, 12001 and 1200100, that multiplied together give a square (14402400100 = 1200102).

The spelling of 120011200100 in words is "one hundred twenty billion, eleven million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1091 1100 1210 2182 2420 3025 4364 5455 6050 9091 10910 12001 12100 18182 21820 24002 27275 36364 45455 48004 54550 60005 90910 100001 109100 120010 132011 181820 200002 227275 240020 264022 300025 400004 454550 500005 528044 600050 660055 909100 1000010 1100011 1200100 1320110 2000020 2200022 2500025 2640220 3300275 4400044 5000050 5500055 6600550 9918281 10000100 11000110 13201100 19836562 22000220 27500275 39673124 49591405 55000550 99182810 109101091 110001100 198365620 218202182 247957025 436404364 495914050 545505455 991828100 1091010910 1200112001 2182021820 2400224002 2727527275 4800448004 5455054550 6000560005 10910109100 12001120010 24002240020 30002800025 60005600050 120011200100