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1120211212000 = 25531103253901
BaseRepresentation
bin10000010011010001110…
…010101001011011100000
310222002110110000201101011
4100103101302221123200
5121323143032241000
62214341245550304
7143634610123606
oct20232162513340
93862413021334
101120211212000
113a2096030791
12161130575394
138183516460a
143c30b84d876
151e21503d2ba
hex104d1ca96e0

1120211212000 has 96 divisors (see below), whose sum is σ = 2754865137024. Its totient is φ = 447676480000.

The previous prime is 1120211211971. The next prime is 1120211212007. The reversal of 1120211212000 is 2121120211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120211212007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4285050 + ... + 4538950.

It is an arithmetic number, because the mean of its divisors is an integer number (28696511844).

Almost surely, 21120211212000 is an apocalyptic number.

1120211212000 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 1120211212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377432568512).

1120211212000 is an abundant number, since it is smaller than the sum of its proper divisors (1634653925024).

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

1120211212000 is a wasteful number, since it uses less digits than its factorization.

1120211212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255029 (or 255011 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1120211212000 its reverse (2121120211), we get a palindrome (1122332332211).

The spelling of 1120211212000 in words is "one trillion, one hundred twenty billion, two hundred eleven million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1103 2000 2206 4000 4412 5515 8824 11030 17648 22060 27575 35296 44120 55150 88240 110300 137875 176480 220600 253901 275750 441200 507802 551500 882400 1015604 1103000 1269505 2031208 2206000 2539010 4062416 4412000 5078020 6347525 8124832 10156040 12695050 20312080 25390100 31737625 40624160 50780200 63475250 101560400 126950500 203120800 253901000 280052803 507802000 560105606 1015604000 1120211212 1400264015 2240422424 2800528030 4480844848 5601056060 7001320075 8961689696 11202112120 14002640150 22404224240 28005280300 35006600375 44808448480 56010560600 70013200750 112021121200 140026401500 224042242400 280052803000 560105606000 1120211212000