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2220230121120 = 25325111092335519
BaseRepresentation
bin100000010011110000000…
…001110001011010100000
321212020210122200011112200
4200103300001301122200
5242334012402333440
64415543140453200
7316256241435024
oct40236001613240
97766718604480
102220230121120
1178665a027450
122ba3666aa200
1313149cb305cb
147966163a384
153cb474c6c30
hex204f00716a0

2220230121120 has 576 divisors, whose sum is σ = 8378456486400. Its totient is φ = 530914590720.

The previous prime is 2220230121113. The next prime is 2220230121139. The reversal of 2220230121120 is 211210320222.

2220230121120 is a `hidden beast` number, since 2 + 220 + 2 + 301 + 21 + 120 = 666.

It is a super-3 number, since 3×22202301211203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2220230121093 and 2220230121102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 402285721 + ... + 402291239.

It is an arithmetic number, because the mean of its divisors is an integer number (14545931400).

Almost surely, 22220230121120 is an apocalyptic number.

2220230121120 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 2220230121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189228243200).

2220230121120 is an abundant number, since it is smaller than the sum of its proper divisors (6158226365280).

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

2220230121120 is a wasteful number, since it uses less digits than its factorization.

2220230121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5893 (or 5882 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2220230121120 its reverse (211210320222), we get a palindrome (2431440441342).

The spelling of 2220230121120 in words is "two trillion, two hundred twenty billion, two hundred thirty million, one hundred twenty-one thousand, one hundred twenty".