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1120020221000 = 235353105120107
BaseRepresentation
bin10000010011000110011…
…010000100110001001000
310222001222010122100222102
4100103012122010301020
5121322300134033000
62214310304212532
7143630100540542
oct20230632046110
93861863570872
101120020221000
113a1aa824138a
1216109860a148
1381804712aa5
143c2d0334692
151e2033b33d5
hex104c6684c48

1120020221000 has 128 divisors (see below), whose sum is σ = 2672970917760. Its totient is φ = 439115040000.

The previous prime is 1120020220973. The next prime is 1120020221003. The reversal of 1120020221000 is 1220200211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1120020221003) 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, 55692947 + ... + 55713053.

It is an arithmetic number, because the mean of its divisors is an integer number (20882585295).

Almost surely, 21120020221000 is an apocalyptic number.

1120020221000 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 1120020221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336485458880).

1120020221000 is an abundant number, since it is smaller than the sum of its proper divisors (1552950696760).

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

1120020221000 is a wasteful number, since it uses less digits than its factorization.

1120020221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21232 (or 21218 counting only the distinct ones).

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

Adding to 1120020221000 its reverse (1220200211), we get a palindrome (1121240421211).

The spelling of 1120020221000 in words is "one trillion, one hundred twenty billion, twenty million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 1000 1051 1060 1325 2102 2120 2650 4204 5255 5300 6625 8408 10510 10600 13250 20107 21020 26275 26500 40214 42040 52550 53000 55703 80428 100535 105100 111406 131375 160856 201070 210200 222812 262750 278515 402140 445624 502675 525500 557030 804280 1005350 1051000 1065671 1114060 1392575 2010700 2131342 2228120 2513375 2785150 4021400 4262684 5026750 5328355 5570300 6962875 8525368 10053500 10656710 11140600 13925750 20107000 21132457 21313420 26641775 27851500 42264914 42626840 53283550 55703000 84529828 105662285 106567100 133208875 169059656 211324570 213134200 266417750 422649140 528311425 532835500 845298280 1056622850 1065671000 1120020221 2113245700 2240040442 2641557125 4226491400 4480080884 5283114250 5600101105 8960161768 10566228500 11200202210 21132457000 22400404420 28000505525 44800808840 56001011050 112002022100 140002527625 224004044200 280005055250 560010110500 1120020221000