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1122021012000 = 253537217112247
BaseRepresentation
bin10000010100111101101…
…010011111001000100000
310222021010120111002020210
4100110331222133020200
5121340344334341000
62215241020134120
7144030504145500
oct20247552371040
93867116432223
101122021012000
113a2934679269
12161556697340
1381a630a61a5
143c43dd57a00
151e2bdd80350
hex1053da9f220

1122021012000 has 576 divisors, whose sum is σ = 4527423403776. Its totient is φ = 241373798400.

The previous prime is 1122021011971. The next prime is 1122021012019. The reversal of 1122021012000 is 2101202211.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 9939877 + ... + 10052123.

It is an arithmetic number, because the mean of its divisors is an integer number (7860110076).

Almost surely, 21122021012000 is an apocalyptic number.

1122021012000 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 1122021012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263711701888).

1122021012000 is an abundant number, since it is smaller than the sum of its proper divisors (3405402391776).

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

1122021012000 is a wasteful number, since it uses less digits than its factorization.

1122021012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112306 (or 112281 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1122021012000 its reverse (2101202211), we get a palindrome (1124122214211).

The spelling of 1122021012000 in words is "one trillion, one hundred twenty-two billion, twenty-one million, twelve thousand".