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1022121201000 = 233531229277223
BaseRepresentation
bin11101101111110110010…
…10111100110101101000
310121201021101100212110210
432313323022330311220
5113221301011413000
62101320032341120
7133563054600264
oct16677312746550
93551241325423
101022121201000
1136452a853699
121461163a47a0
13755022752a3
14376843370a4
151b8c3836350
hexedfb2bcd68

1022121201000 has 128 divisors (see below), whose sum is σ = 3191624467200. Its totient is φ = 272342892800.

The previous prime is 1022121200999. The next prime is 1022121201001. The reversal of 1022121201000 is 1021212201.

It is an interprime number because it is at equal distance from previous prime (1022121200999) and next prime (1022121201001).

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

It is not an unprimeable number, because it can be changed into a prime (1022121201001) 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, 3548389 + ... + 3825611.

It is an arithmetic number, because the mean of its divisors is an integer number (24934566150).

Almost surely, 21022121201000 is an apocalyptic number.

1022121201000 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 1022121201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595812233600).

1022121201000 is an abundant number, since it is smaller than the sum of its proper divisors (2169503266200).

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

1022121201000 is a wasteful number, since it uses less digits than its factorization.

1022121201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278476 (or 278462 counting only the distinct ones).

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

Adding to 1022121201000 its reverse (1021212201), we get a palindrome (1023142413201).

The spelling of 1022121201000 in words is "one trillion, twenty-two billion, one hundred twenty-one million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1229 1500 2458 3000 3687 4916 6145 7374 9832 12290 14748 18435 24580 29496 30725 36870 49160 61450 73740 92175 122900 147480 153625 184350 245800 277223 307250 368700 460875 554446 614500 737400 831669 921750 1108892 1229000 1386115 1663338 1843500 2217784 2772230 3326676 3687000 4158345 5544460 6653352 6930575 8316690 11088920 13861150 16633380 20791725 27722300 33266760 34652875 41583450 55444600 69305750 83166900 103958625 138611500 166333800 207917250 277223000 340707067 415834500 681414134 831669000 1022121201 1362828268 1703535335 2044242402 2725656536 3407070670 4088484804 5110606005 6814141340 8176969608 8517676675 10221212010 13628282680 17035353350 20442424020 25553030025 34070706700 40884848040 42588383375 51106060050 68141413400 85176766750 102212120100 127765150125 170353533500 204424240200 255530300250 340707067000 511060600500 1022121201000