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22142343120000 = 2735419101131367
BaseRepresentation
bin1010000100011011010100…
…11111110000010010000000
32220101210020222000001202020
411002031222133300102000
510400240004314320000
6115032015122121440
74443505622051625
oct502155237602200
986353228001666
1022142343120000
117067573494774
122597401ab0280
13c4802499bc1c
145679a35d034c
15285e8e622ba0
hex14236a7f0480

22142343120000 has 1280 divisors, whose sum is σ = 78941090764800. Its totient is φ = 5481216000000.

The previous prime is 22142343119983. The next prime is 22142343120011. The reversal of 22142343120000 is 2134324122.

It is a happy number.

It is a super-2 number, since 2×221423431200002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 60333359817 + ... + 60333360183.

It is an arithmetic number, because the mean of its divisors is an integer number (61672727160).

Almost surely, 222142343120000 is an apocalyptic number.

22142343120000 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 22142343120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39470545382400).

22142343120000 is an abundant number, since it is smaller than the sum of its proper divisors (56798747644800).

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

22142343120000 is a wasteful number, since it uses less digits than its factorization.

22142343120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22142343120000 its reverse (2134324122), we get a palindrome (22144477444122).

The spelling of 22142343120000 in words is "twenty-two trillion, one hundred forty-two billion, three hundred forty-three million, one hundred twenty thousand".